{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a611ccfd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:00:00.224752Z",
     "iopub.status.busy": "2022-04-09T11:00:00.223877Z",
     "iopub.status.idle": "2022-04-09T11:00:01.793182Z",
     "shell.execute_reply": "2022-04-09T11:00:01.792382Z",
     "shell.execute_reply.started": "2022-04-08T15:47:49.071108Z"
    },
    "papermill": {
     "duration": 1.599168,
     "end_time": "2022-04-09T11:00:01.793345",
     "exception": false,
     "start_time": "2022-04-09T11:00:00.194177",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from tqdm import tqdm\n",
    "from celluloid import Camera\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import f1_score, precision_score, recall_score\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.linear_model import LogisticRegression, Ridge\n",
    "\n",
    "from lineartree import LinearForestClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "08fb0718",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:00:01.841720Z",
     "iopub.status.busy": "2022-04-09T11:00:01.840888Z",
     "iopub.status.idle": "2022-04-09T11:00:01.848085Z",
     "shell.execute_reply": "2022-04-09T11:00:01.848666Z",
     "shell.execute_reply.started": "2022-04-08T15:47:50.228629Z"
    },
    "papermill": {
     "duration": 0.034409,
     "end_time": "2022-04-09T11:00:01.848889",
     "exception": false,
     "start_time": "2022-04-09T11:00:01.814480",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "### UTILITY FUNCTION TO GENERATE DATA ###\n",
    "\n",
    "def gen_timeseries_dataset(n_samples, n_features, level=0, random_state=0):\n",
    "\n",
    "    np.random.seed(random_state)\n",
    "    \n",
    "    X = np.sin(np.random.normal(0,1, (n_samples,n_features)))\n",
    "    X = np.cumsum(X, axis=0)\n",
    "    X += level\n",
    "    \n",
    "    coef = np.exp(np.random.uniform(0,2, n_features))-1\n",
    "    y = X.dot(coef)\n",
    "    \n",
    "    return X,y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "57803b5a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:00:01.895909Z",
     "iopub.status.busy": "2022-04-09T11:00:01.895176Z",
     "iopub.status.idle": "2022-04-09T11:00:01.904165Z",
     "shell.execute_reply": "2022-04-09T11:00:01.904808Z",
     "shell.execute_reply.started": "2022-04-08T15:47:50.236273Z"
    },
    "papermill": {
     "duration": 0.033883,
     "end_time": "2022-04-09T11:00:01.905048",
     "exception": false,
     "start_time": "2022-04-09T11:00:01.871165",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "### UTILITY VARIABLES ###\n",
    "\n",
    "thresholds = [0,-0.1,-0.2,-0.3,-0.4]\n",
    "models = ['RF', 'RF_STACK_OOB', 'LINEAR_RF']\n",
    "f_scoring = {m:{t:[] for t in thresholds} for m in models}\n",
    "p_scoring = {m:{t:[] for t in thresholds} for m in models}\n",
    "r_scoring = {m:{t:[] for t in thresholds} for m in models}\n",
    "\n",
    "boxplotcolorprop = lambda c: {\n",
    "    'medianprops':{'c':'lime', 'linewidth':1.5}, \n",
    "    'boxprops':{'c':c}, \n",
    "    'whiskerprops':{'c':c}, \n",
    "    'capprops':{'c':c}\n",
    "}\n",
    "\n",
    "scores2str = lambda scores,name : \\\n",
    "    name.ljust(11,' ') + ' | ' + \\\n",
    "    ' | '.join([f\"({t}): {str(round(np.mean(s),3)).ljust(5,'0')}\" for t,s in scores.items()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ea072990",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:00:01.954282Z",
     "iopub.status.busy": "2022-04-09T11:00:01.953236Z",
     "iopub.status.idle": "2022-04-09T11:00:01.985585Z",
     "shell.execute_reply": "2022-04-09T11:00:01.986702Z",
     "shell.execute_reply.started": "2022-04-08T15:47:50.248272Z"
    },
    "papermill": {
     "duration": 0.061406,
     "end_time": "2022-04-09T11:00:01.987120",
     "exception": false,
     "start_time": "2022-04-09T11:00:01.925714",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((20000, 10), (20000,))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### GENERATE SAMPLE DATA ###\n",
    "\n",
    "X,y = gen_timeseries_dataset(n_samples=20_000, n_features=10, level=100, random_state=1)\n",
    "\n",
    "X.shape, y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "dacb8f51",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:00:02.086023Z",
     "iopub.status.busy": "2022-04-09T11:00:02.084458Z",
     "iopub.status.idle": "2022-04-09T11:00:02.627230Z",
     "shell.execute_reply": "2022-04-09T11:00:02.627791Z",
     "shell.execute_reply.started": "2022-04-08T15:47:50.288851Z"
    },
    "papermill": {
     "duration": 0.598236,
     "end_time": "2022-04-09T11:00:02.628019",
     "exception": false,
     "start_time": "2022-04-09T11:00:02.029783",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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/xKve52wNEv+VN9x3/3wO548Xw6A3yfbbk59egZ9fO4yvn9iNjHdVSCgaiRuSn0JMWR9EVHeGl8EXhDK5AwaDwWAwmooHvk8U7d/7LRchVefg2e3tIX4OR4f4oEom17Q1dBzr/YZACPEDsBbAY5TSKgCfAYgD0B9APoD36nm+eYSQREJIYnGx/Isjg8EQc/zEPdi2Pa61p9GmsK856i43Pst78IIiffDAirH1Ov7YpgtujQvv5I8OvQLxyfFPYDS3/EqkK5J35Trt//KRXU77raQe4Mrp6LXiB+K0s/dj9qkncE/iMsw/+EHDJslgMBgMRhNQUafH/vSS1p5Gg0ktEJd7+e9MoWRMfqVjcciuEf627V1PjwcADO4sTUG6/etD0BtbtvxbvYxTQoganGH6I6X0DwCglBZSSk2UUjOAr8CH7uYCEMZydbS0iaCUfkkpHUwpHRweHt6Qz8BgXHGUle0B0LZKk1yKLPp8IiK7iMu/eHipmuVaSpUCJ/JP4oukL7Axc2OzXMMdknbkOOzT1OixcsF2VJdxBbjfOfKOqH/3L+ecnvvIv5k4sy/f6RghJrN73lgGDyFESQg5Tgj5x7LfhRByyCI++AshxMPS7mnZT7f0xwjOwcQKGQzGFc0D3yfitq8Poa4Vwlabgmkr9rgck1EkLRMjR+dQXwCAh0reLOyzZLP7E2sC6qPWSwCsApBCKX1f0B4lGHY9AGts3V8AbrE8ILsA6AZAWvGewWA0GK227ZQmudToPdZxlsH9749x+zwPrhzv1riyvBqEl8UAAF478Jrb529KNEYN9jgxMFe/eAAAsP6D46CU4vsz34v6k50YtgadCYf/lg8NdgRT7W0Qj4LTfLDyFjhRwq4AygHMtbTPBVBuaf/AMo6JFTIYDAaAI1nlAIBfjrRObfSWgBDn/T/PG27LM3WGrg17TkcBuBPARLuyMW8TQpIJIUkAJgB4HAAopacB/ArgDIBNABZRStkyOYPRhJjNTPEUgCgf8p63RuGOpcPRb5JUhEeIvQCSEE8ftctrBkZ4Y+57Y6BQOr+NFtYWYsYfM2xhrsF17aA1aV2e3x3OnyiGTuPeqq/JaMaq79Y7HWOwhuISQGvSIqLacT6tPXLqxg7nQoxQmJUY84v7iwAMgBDSEcAMAF9b9gmAiQB+twz5DsAsy/ZMyz4s/ZMs45lYIYPBYFh49e8zrT2FBtEj0t/lmH3pJWgf6Fj3YnhsKCbER7h1vYzi5quJbk991Hr3UkoJpbSvsGwMpfROSmkfS/t1lNJ8wTFvUErjKKU9KKWtF8fGYFymaDRZrT2FNoFBkN/oG+iJwHAftO8W5PQYV0bl9U8OEO3f+/Zo0b63nxpevq6N2GlrpyG7Otu2H1/EiS5lVWa5PNYZVaUabPw8GV8/vtut8Unbc0COiB9Ct74yTHasrs6IEk0JZp96QtLnKJQ886T7uTtKqsK8Q+8jorqT28cwAAArADwDwLqMHQqgglJqXaEQCg/aRAkt/ZWW8UyskMFgMC4BdpwtgsaBoFFsuC+6R/rhpWt6yvYDwKc7M5BX2TSL4ZPec093oilgkokMxiWM0cjCIgFAWytVmFPZKdENnxWLjvHBmP30IIy7rYfLc7bvFoybXhiCW18ehgUfj4dCycfHePmpMey6WLfmZqRiz2aRXxYA4No/r3XreEeUZPOrmGaz69zj/evSJW0hUb5Y9PlESbu2xoDsymxJOyCu71peUAuTgbOTamvkH4A3v+jYKTf71JN46dc3We60GxBCrgFQRCk92kLXY2KFDAbjimDL6YLWnoKEc4XVuPfbI3h+nXwpt6zSOlRqDHARuSvL3w+NdtiXvGQqFJaTzh/n3ntOU8OMUwajjfPSn6cQ89y/OC8TUnH6jNSzdSVy6K/zAICoroG2tsgYXujo/vfHYNC0GMx8bACi4gKd5psKCY/2R0h7XyjVCnj5qhEU6YMp9/XE3HfHoGO8VNXOGb/1fZubYxWvslypq8SU36fgSMERyfjHdzyOsT87Vg4W1h7V1UmNcwn1tP8ObZIaswBnuF44VYqVC7bjpyWH8M+XxwEAxCx9nGQHnUFYRz/c8Mwgh9dpt30YPn1oOzQ1+vpN8MpjFIDrCCFZAH4GF877IYAgQohVxUsoPGgTJbT0BwIoBRMrZDAYDBHzVrfIml+9qNRwz/V1x+WV9FPyq1BYpcPJnApb282Do/HZ7QMlY9WCxfWs5TPQp2OgZIwVfy81zr85A9/eMwRPTnG9kN8cMOOUwWjjrD7IlSpJtCTvm828IeLtzcIiAaCyiJNLF4bZClV33ckhdYfbXx2O7kPb1euYmXEzAQBGBWd89S7kDc7kkmQU1Bbgvs33IS+9AiU5vCd8a/ZWlOvK3bqGo5BaSinu33w/SjQl8PRxrEIcN1BqfHgm8vYLjapB73G8Qf/PJydt2znJlViz9KDk+C+HPY57n5oMAGgXG4gZC/ti0t0J6Nw7VDoBE0FhZpW0nWGDUrqYUtqRUhoDTtBoO6X0dgA7ANxoGXY3AGti8V+WfVj6t1PORc3EChkMRotAKcWXuzNQWNU0oaVXEs4iooR960/wwpjPXh2Pq/tEYUrPSNH4CH8u79SdPFUrE+IjJOq9vyW2jHgUM04ZjEuEI1llAACzmb/JBwUxHRMAiOnDGTz9J/MGFVEQDJjSCdc92r+VZsVxqoQTMK/0loZGni07a9te9+4x/PK61IOaUpoiabMnIMxbtv3jvZ9hwLrbcP+nT0BXx4cXn4zagTvfGGHbnzavD7z9HRvwX3Z+CZ7ejo3bstw60X6VZwnMCjPiw+JtbTF9wxA/Igr56RWy5yCuZAUZjngWwBOEkHRwOaWrLO2rAIRa2p8A8BzAxAoZDEbLkV5Ug2UbUjHizW2tPRUbE97diZjn/kWHIPnnZltBqXD8THzq95Oy7SG+HgCAZ6eJPZ6EAAvHx+GX+cPrPY/v7uPfM5/+PanexzcEZpwyGJcIvx3NQY3OCJNAoTc//3cnR1w5eFi8guGdxDVLR97QFdEJ9Qu/bWoyKjMc9q04tkLSZqZmkdH6wdEPpGNMYll3g1ZesfefE1sAABPT7xS1H+z8FwJCxQ9mRwbuni6/gRIzirRFsv1yFPs5Xl0dfZO8SrKphaXqL2UopTsppddYts9TSodSSrtSSudQSnWWdq1lv6ul/7zgeCZWyGAwmh3roqMbsggtQpXWgMwSrvZnboWmlWfjnC1nCmXb6/RG/HGMD/W9dSgXQbdgHJ8yFBfuJzomp1yDZ6bFI8jHo97z6NU+wPWgJoYZpwzGJcT4d3bg3b9/a+1ptDkO/MEZgCp127ql/XfhP9l2H73dzV7w4NYYNbjx7xtt+wfyD9gEg/b8eg4Zx4ok5WM2fCYvmEAtJ1ZScRlLSnhDUG/S48GtD8K7E9dm70FNDT8EAHi19lHZa8hR6VmCzgHyZWh8gzxl2xM3ZAEA7t9yP/p818ftazEYDAajrcI/3IraQGhvTpm8QTq+R9vLq/9uf5Zt+9D5UixYfRQavQl1duq9r83shU9uGyDylhJCcO71q237vTs03MAM85N/ZjcnbetNjsFgiNiWIl4580Imhge/20qzafsQJ2EwLc3ZsrN4Yqe8YNWduc+J9pWUD5kd/pM07GZr9lZQM0XS9hxs+vKUzZBTOjHGCzIrMeu01KCs8iwFANQZuFDcUyWnsDd3L349/wsAoP9kcR6zScHlOOtV7q0yD76nHTyGV2LZ6GWy/RGdA6D2VErazxafw5uH3sShfM4YTit3v24qg8FgMNoeeiNvnA5dtg3pRa1bYUCllL4j9OsYiLYoGD85gc8bvfnLg9h0ugCf7EgTlZZZPrsP1EoFrunbXpIaI8wX7Rzi22TzOpbtnhZGY2DGKYPRhpn7XaJgj+LVkW9JxrAyHG0ToffzyUFPivpIAfeg6Js3HoGacCjNzgWbvkr6Ckf+zbTt15Zzod0BoY6La699S6o++OOAV/HTgKUAgO/OfIeLVRfx4bEPAQBJUTvRf3I0+kzoKD5I8LzrOTsYAPB3z5Wy1zwbdhjDhvfEZ1M/Rd/wvrJjvHzVmPfhOEl7lVcpfkr9yba/7JC8cctgMBiMSwODXQrK5Pfdq8vdXBhN4vel4bEh8FApJPNsC8gp6q7ckYFTuZW2/R7t3BM4euVax7VQ3eHbe4fYtj1c1IhvCphxymBcIvg48FxVVByB2ayDydS28yeai/yMSteDWhmlQuopVJk8MPLC9bju9ENQCYxThUxJlopMPY78m2XbzzjOiSsNmsaHzlrrjTojKjgSd/Xi8k8/PfEppq+bjmNFxwAARqUeva+NQB2Vliyy8nLpI5j0fCfkBp6T7R8b67h2mj0PfDBGtB9T3hugvCV8oeqC2+diMBgMRtsjrcjx86Q1sDdCu0f6Q61sm8bp8o2psu0vrT9l2/bzdCxUCABbHh+L+WNjEe7fuNDcCT0ibNvGFkggZsYpg3EJkBAVAC+VfL4GIQocPHQ1du7q3cKzahv88U7bq09mz/Gi4wjwCMCfvT60td3c/g4AgJfZDz0LRtnaVWapYMHUdldL2gDAtwtvzBkNJpzcfhHlBbUOa4Zm1pzH+OjxDuc5+ufRGP3zaBgH5sv2V+grMGfH9aK2L4fxocthXu7n7Xh4qzHqxq6iNqGR/vqo190+F4PBYDDaHj8dki4yag2tJw5+3C4k9Y9judAaTDiSVd7motBUDtKUSgTPdy+1dOFbSPdIfyyentCkavjpLbDgwIxTBuMS4LcFI+Cl5FV6u3R5AgMG/AAAMJv10GiYl6ktk1WVhb9m/YWVd7xja/P/sx8AQGlSYXDuNFv7zSeex4IDH6JXAe+FTKuU91TetH02Blq8pye2XcTeX9Pw05JD+OapvbLjTcSIIe2GyPYJ+dpzOX4YuARzFg92OCYvgMsJ9fPkc1nKcuv30OozriMMg3nVwfiiYbbtkR1G1utcDAaDwWhbzB7YUdJWpTXIjGwZlvx9RrTvpVbgWHYFAOBQZlkrzMgx03q7rqkeEdByYkUvzkgAAJzOa/5oNWacMhhtkP0ZJTCZKWb2b49OIT7w9SBYOupNAMAXSXcjOOIB7E7NBgCUlfGGyJVcrtDeC9eWmN93PkK9Q9E9uDu6DY5wOtbXwOWZjMmcgwnREwAAxEHkzpODnkRYR04y/sR/2S7nYVa4//2o8SxHROcALOy/ULbfeFUWbnlpKHbfshuZwVzts/qGWCvVClT2slU4wegsLk/3joQ76nUeBoPBYLQ9rL7In+fxQn9Hs5pfUMddhOVXPtrWtkT4XIUaf37HIHiqnHtOm5KbhkTjql6RWDi++d+1mHHKYLQxDp0vxW1fHULc8xugNZjg46FESgqv7lquDcKTv53Esv84tVWjiVe/25HquL7k5Y69ymxb4b7e92Fq56m2/bRE9+uFrpiwAu1826GyUD6f2NfDF1UlXJ9R3zw5Mw/2exCrpq6StL8+4TWEdvCDUqFElRenADz2lu71Pv+wqGE42mGzbd/L4Idnhz7b8AkzGAwGo02gs4Tw9hTUynzwx2P1OofJTPHrkYswNkNe6HX92tu2XYXItiT/nSnE5tPydU6tXNUr0ml/UxPgpcYXdw5udP6qOzDjlMFoYwjzCbQGMzzVSuQX/GFrqzX4YHtqEfQmLjcxN5dXOK3ImtVi82S4Jj4kHo8PerzB+R4KokBBbYHNowgA27quBgAc6bgRNfoadOge7Pb5nh/2PAA4LPPiiKFRQ7Hjph2iNrWCzw+99fbJ8BuiQ8/R7e0PdUl8cDxOtN9m238o6x3s/lk+jJnBYDAYlw7WsifeAsPv2n71e058tC0Nz6xNwm1fHWqyeX106wCseWA4IgK8MMFS4zSrtLbJzt9YHvier9TQNcJPdkxT5pG2NZhxymC0MT7ZkW7b1hhMGBK2SdSvMXLlQwwmafmRQM9qlNboJO2MlkVn4n4HE6MnNuo8lFK0rxSH0FwIPoXPRzyKo9GbUGuola0ZaiU76AxiblTBL9gTPW8Iwi09bgEAXBt3LZLvTkbiHYkOj43yjRLt+6h8HI6d0HUc7p57NZSq+j9SYgJjsPeOPbb9mhI9knfmoCSnbak8MhgMBqN+aI0mKBUEaqUCmx8bCwD4+2Revc7xoSXc9nBW43JC6/RG2/bVvdthRFwoAOD9m/oDAM4Xtw3jdPPpAtH+6K5hAGAzoq8EmHHKYLQwmSW1MDuR4k7Jr7Jt5xafwojwn0T91XpuFU1rkq9xOfm97U0wy0uL0I7yK4utxTtHOOGj1DKpFPzoOd3cPs+mL0/hujMPi9oMSt6zXmOokRQP7zaED/XZ0v1bxA2MwN1vjsKEKQMlK62eSk8k352Md8a+A3s2zN4g2vdROzZOG4uPp7ekzaA1yoxkMBgMxqWC1mCGl2XRMtSPV6I/X9zyi49FVfzCvVpQq9Pfixd1OFtQjdZm/mpxBQKF5bndp2NQK8ymdWDGKYPRguxLL8GEd3fiBxl5dQAoruZvnv4e1Xht5HJRvyp8JYyU85iaqLzHrGfwgSaabdul6EIVtLUGrFzAGeKlbczLdrrkNADegyrEWeirvTrueUs9UyGU8Hk3NfoaePqI1ZIWq+8CAGzt9h2MSj3iQ+Jdzredr1gVMPnuZKgUUhWmCG9OzKlvWF+X56wv8z4cJ9rX1LSeoiODwWAwGgelFBV1BlsupzCns05ff/HGMd3CGjcfB+0qgaF63/+ONOoaTU37QC/EhnOK+D0i/Vt5Ni2H8+qtDAajSXl3y1nu/81ncdeIGEm/UKJ7xfgXRH0KhSfKjL0BnHR6DU+lDjqjqUVV3FqSqhINfnvTcThqW6BKz3m/AzwCJH0qtfya4IMrx0OhdL5emBS1E75qX9QauPCjjIoM+Id4YcT1cbhYdREv1i4EKMXnIx4FAFwTe41b871YzQtpdQ92LGr044wfsfzwciwZscSt89YHlYf4s+elVSC2/5UTxsRgMBiXEx/8dw5rj+XY9r0EaR/upEuuP5ErUtDVGRoniKQzujaIcyvkxQdbisIqcT37KT0jcfuwTogN87WFIV8JMOOU0aJcvPg/+Pn3QnCQ61qLlyPHLfW0HCWy3/Ot41U7s1kHD6XY4Pzu9C24u9fPorbbE37H3t2/Y9LEjMZNto2irZV61Dr1DGmFmTgmu5or6+Lr4SvpIwqC6Qv7wqA1okP3YKg8lSgvqHVpmJ6J2I/9MesAA+Cv9ke1oRoH8jkv+cCrOsOQXwBsEa8NLx211K35CkN2gzyDHI5r59sOKyascOuc9cX+byK6jf1OGQwGg+E+H21PF+0LPZQGk+PUJiuP/nxCtN/Ymp4GI3fN56e7jiZqLYYt2yba798pCIQQjOwq9hp/fOuAlpxWi8PCehkthtFYjXNpS3Hs2C2tPZVWZ3qfKEkbtU8elCEqSJxnWm2QGj9WTKbWXQFsLowyq6cT705ohZm45sDxBNz42X58tjMDZ/L4XOIufcPQfWg7+AZ5wtNbhXZdAl2ea3fsr7btagOfF3OkgFvQMJnFq8Lz+s6TDc2VY0yHMbbt5swtdYVvEP/y0bnXlbNKzGAwGFcC3983FACwPbUIFXV6h+PkanwG+3jIjHQfvYl7Rsa3k0Y0tTYlNTrEPPevpH1W/w6i/aQlU/HPw6PrrXh8qcGMU0aLUVS0yfWgKwRPGVVTndF5yEpExHQM7BSM92/qh0PPT0LfjoHIq+FzBQvrxCtrBkNFk8y1rZFxVFwnNKKzP3wDm7/ulrsIFxlSs32ReKEcb21KxfSP9jg5yjkHO60HiPzixYNbHwQAaIzixYi7et7l9vk9lPxD/7q46xoww6bhpuevzIgKBoPBuBIwWcQgP9qWhv6v/Yc/BGG/QuSMU72LdyRXlFmirjwaoCrf3Px5PFfS1j86SBJRFOClRu8OrhezL3Xa3m+IcRnj2jN4pSBniGoNvOfrg+ukkulhoVxZktkDOyIywAvdIvxRWBeJhdvewdwtH+GNQ0+KxufkrG7iWbc+2loDknaIH2YzH2tb4S0Gc+OEfK5e0Afjb+8hapt75/Wi/fl959u2dSYdDuQdwGM7HxONkct3dcaxO45h9dWrMaXzFKfjTudVNpvSopefGu27BeHah/s1y/kZDAaD0bK8N0dwP7fLaNqaUigZn5RTYQvBFfJL4kVJW32w1g5Vy6TQ3DMyplHnbizZZXWSttuGdmqFmbQNmHHKaDE8Pdu5HnQZcyy73La95nC2pP/ZtUkAgI8nPIMA7RJb+4D+3wMAgkNGiMa/MIMLZdWZOK9hrV2I74XsLxo/6TbGyW3Sh5OHd9tKnV95YmWjjo/tH45eYzqIVHjHR4/H+lnrbfvV+mr8cd0ftv15/82TnKe+BbrVSjX6R/R3OibmuX8x46O9mPjernqd210UCoLrnxyITiykl8FgMC5pAr3VuGFgR8we2MHhmA3J4pqe+zNKcN0n+9DvtS2y448L3qMailzk2pLregEAOgZLy5q1BAM6BUna5gzu2PITaSMw45TRYpSUOq6/WVeXibq6rJabTAsQ89y/iHnuX1u4xuxP94v6K2srsGNnL1RXp2DxH0kYHfgI3h7zCnzUYrW2kJBRmDQxA152xn2Irwc6BLl/I62pOdvAT9J2MOh473LsgHAkjJLm7rY0J4tPYsF/C2we029OfQMA0BbMbNR55yzmQlwn39sTABAbGGvrUyvU6BTQuquqQk8/g8FgMBhC6vRGRAZ4ihZKXS2ZZpbUOu2//tP9bulzOMPR4YM6B6NzaOtoLijsFpPT37i63gvMlxPMOGW0GMIw0zMpz6G0lPe+HDg4GQcOTmqNaTU7j/1yAgAQ6lWGVVMfQVzgeQDAvuRvYTZrcfjINVh/7Cza+xUi1Fu8KhgQ4Dxkdd9zE/Hp7QMBAJ/ePhClysfwbuIiAFyOqpXi4i04dHg68vJ+b6qP1SqER/vZtq+e3wcT72xdISRKKZ7d/Sz25e1DdlU2ThSdcDq+yE4m3hmB4d5Y9PlE9BgmjTiY0GkCPJWO82xv7H6j29dpKPaLLQCQV6Gx5RTVl4tldY3OKWIwGAxG66M3mmEwUfh6iiObuoQ5FnEEgBfWnZK0Te8jfgaeFogLuotGUFfV7MA69VIrsC+9VFaYqLkx2qkXq1yo91/uXNmfntGi+PjE2bbz83/DiZP3teJsmo+iKi1u/uKAqC05pxL9wpMBAM8PWwEA+Pdkpq3/44nPyZ4rLvZxl9eb3icKWctnYHqfKIwf8ABSynrAZFagqGgDKDWBUrNNjCol9dmGfKQ2w9b/pbT2FET8kPIDcms4z7iJmvDB0Q8EvVJDa+iybSLV3oYyMGKgw77jdx7Hy8NfbvQ17LFfrT6TL/4cBZVajFy+XfLdd4eiKi3GvL0DC388hrwKDTNSGQwG4xKmTm8EAHirxeXvOoc6N07l8PNU4dah0bb9swXVTkbLk/AyL8jZs728HkNr1YbfkJyPJ39zXr/+SoMZp4wWo67u8qy7ac/yTak4lMkJGs3p/id6BJ/D8YvlGNKRF5EhMoaLHJTWL3QyIoArNaNUcOevqkpGSspzKChc7+ywSwKhcTRn8eBWnAnPH2l83qfBZMCxomOCXvnV2cao9ibfnYzku5Nt4T5yyroqhapZwoHkRLwe+ukYqrRcOPPwN7n6bIkX6p8TtP5EHgBOHGPk8u024QoGg8FgXHr8m5wPANh4Kl/S9/dDo+t1LgUh+Ockf552gV5ORrtGThAJAE7lVor2i6rdj3RqDAt/POZ60BUGM04ZrY7RyBttWq30Rnap4ePBrb4RmDEtZjueGfIJXl5/Gt39N9vG3NnzV8zu5jx0JLrjPQgOHtmouSQevQH5BWv5ufl0adT5WpOCDP7BEdG5bdQpS6/gi4zXGaVqewBw5IXJWDQhTravsbwx+o1mOa89lXUGxL8kLQX1T1I++i6RF66oDwF2ola7zhU3+pwMBoPBaHmMJrMtPDclX+rl9FTXz/Tw81ShWme07f+T1DzviUXVOtt2zHP/Yugb2/DDwQvNci1nJES1jfeb1oQZp4xWx2jijdN9+0fDYBCHC5aU7EB1TWpLT6vB/HCQU+L185BP7Pf3H4BxHaX5evZ07/4SFIqmVaKtq8t0PaiNkV2VjWp9NYyGthPqeaTgCGr04nIqe3LFHlFjdR+8NrMXwv098fRV8c0+pxeGvYC3x77dLOc+nMWXNnr7hr6Sfke16tzFXgyCwWAwGJcmXV/YaNu+ZUi0pL9WYGiG+npI+oU8fVUPPDG1u6hNrtqBMyo1DS/vtvNsketBjUSpED//7hnZudmv2dZhximjxQgMHIjAQGk4JjXrRft5eT9z7dSMbdvjcDLpfhw+PKNF5tiUxATwN1A/dQ0q9UEAAC+vSJfH+vp2a9S1V5+Z47AvM/OTRp27JaGUYsa6GRi5ZiQUlhv4jEVS46glWZ++Hvdtvg8j1ohL+6gValwTew0AYNnQb0GNgSI15X8erl8ok7tY809vib8FV3e5ulmuIcyTrdIaMKqruNTLE7+K82U2nxaXB3DFh9vSJG1GmSLsDAaDwWi7FFSKQ2H7RgdJxsRF8MKG1rQQK9N6icWPFk3oCh8P6SJ9aY1O0uYIoRhSfdmaUoQ6vbHRCsHOEIoI3jMyBjcNlhr0VxrMOGW0GJWVx2A2aSTtGo24dmV6xlsAgLy8X1pkXs3FuI77bNsfTngegR4VAIDiYml4pJVXDzwNAOgS83CDr/vm7D6o0AU67D+fyYv2pKQsxrbtzRNyak9ycTL6fNcHVXr3BYFyaniP3Nb/nQHgWAa+pXhx34uy7f9k/IN/zv8DAPBTcGVevARiEL07OP6dNIbPJn+GLTc0PrTWEVVaAz7Yes62vzWlEP06Bjk9Zv7qo3hvi/uli3LKpfeF7anNv2LNYDAYjKbjXbv7/lW9pIvxfgJj02CiovIxWiNvSI7rHu7wOvmVWhhMZokxLIdQnddZ+b1r+7WXbe/58mZ0WbzB5XUaQkWd2Dmz5LpeV3QJGSvMOGW0KNU1p0X7dXUXcPzEXZJxRmMNUs+KjQCTST6nr60yIEIqie4KpWcPTJqYgcjIhnuKe7UPQGFdhFtj8/J/BQBkZ69q8PXc4Zp11+C2DbcBAFYeX+l07JasLejzXR/k1uTixb38d0BTza2wRnT2BwCYzQYYjTU4c+ZpaLV5zTRznip9Fcb/Mt5hf14tP4d7vz0CADiQUSoaMyme+7005Sqsj9oHUX7NV++1pFq8Qj2lZzub2IU9fQQG+Mfb02XH2OOo9Ewrr0EwGAwGo578flSc4iGngKtQEHx4S3/b/oR3d9q2hfWzH57Y1ba986nxonPoTWY89ssJDH9zG2oEYcJyJOVU2LZjwx2rBfdyoOLbnBRWue8BvpJgximjRTAJPKbCkjLn0l61bQcFDrFt63RSr0lRcfN5hxpKzHP/2v7d9tXBeh//3embbdt+offh74fHNHpOseF+yK91Hjqcnv42KiqP2vZzcn5o9HWdcaGKFxXo4NdBdozGqMFfGX/hyV1PAgCmrZ2G44UnEF7Dhbh0G8IZdr6BXH3PE0kPYtfufsgv+AP79jf+5+aME0UnMGrNKJRqS10PBtDVErZ0l13uyJAuIQCAukaEGbU0vxwRRzZM7RmJC6XyC0VzR3cRbf98ONthzs627XHYt3+sw3yg5gyjYjAYDEbrMbO//HtASn41hnUJwdEXJ2NwTIitPSbMF78v4FNpKKX41yKMVKN1bJymF9VgwQ+cGu61/drjk1sdl2FbMK5losiE/G//pacD0hIw45TRIpSW7gIA+PklYPCg36BU+oraAaBT5wds2zp9oeQcZ8482cyzdI/8/HU4cfJ+Sfv+jFJbbl6Yd4nL8xTVhWJ37ijb/rB+L8DPs/ECSNw5CH5MucHhmAvZX+Do0Zts+xqt2AApLz/cZN7U06Vib/k7ie/Ytv9JysPFMs7QGfrjULyw9wXR2FmnHsUNyU8hpDYKqQfEeYzlZTtE+32+64PzFeebZM72/Jjyo8O+e3vdK2lLL+LEkiL8xZL3AV5qAMDnuy6dskpf7OZ/pveOikF0iA8+uW2A7NiUAj5ke93xXDz3RzLusXiRhRiNnIKjVpuLbSnSv3WAL4vEYDAYjMuPAZ2CbNvltXpsSM5HpcaAQ5llCPXzlIwXGqvC0mbPrE1yeI3J7/PvmJMTIhDoo3Y6p1uHdnJn6k3GmsMXXQ+6AmHGKaNFMFPOOxIUNBhqdSAC/PtIxnh58qGJx49LQ33bCmdSnkJp6Q4cyZS+VFtLYAR4uC4SveTAcwCAuVs+wqSJTW+sbL84zrZdS0aifdRNTkaLvVTHjt+KtPRlTeK9+vj4x/JXpBQP/XQcs1buQ6lG3iMZWRMDAPAy+onaTWZ5z+M9m+7Bvtx9MJh4b5zW2PhaZZuyHOcJq+qhqBzozT0Y3Q15bWuMiOWEkK7pK5+bE+LDKy+W1eplx5hMGuza3d+2HxPGLVQJQ4Kzls/AwE7BjZ0ug8FgMFoIvcBg/HnecGS+Od3p+IXj+bDdAUv/q1e9z8o6/hm/+1wx3tksruhQXqvHHV8fErXtcEPHYHwPx3mujJaDGacMt0jMKsO3+xoefqBWcy+akRGcmml8/OuSMT4+sQgLm2zZ425yhHigb98vG3zd5uS7LdIak72DNmNi9C68MIwTHYrt8pjD43UmbmWwc6hPs8wPAD4/txrP7nkZF8zPIy7uKYfjPDzCZNuTkhc0eg651bmStszKTNvKZ2mtHuXacqfnUJnVKPTLQlQ8lxOiN0sNHy9C0UVZjAVb5+OJnU8AALZe2IohPw7B2TL3xXkAzsgd8RMXQmSmzlVjaww1iPDhc3wTgvs5HGtfz9NKakEVfjlSP3n8lua7+4ZiqkBJ8cDiifjp/mG2/SemdMccByqDwtIBhw5fI+qrtqg1Lp3Vuymny2AwGIwWJKecT/cYHhvqUthnSk/XlQvsmd6HewY987vYW7pyh3iB/6X1p7A3XRzBNnOAfCixEA+lY7PI7EAfoTG8el2vJj/n5UDTFlFkXHZkltSKktXvHdXF8WAnWFV6FUouVM/bWxw6YfUcduxwO0pKttrag4OGIDSE8wAGBjrOFWgpdLpi23agZ6Woz1dVC33Ze7g9gW8LCh4OuLDp5epGNpZNj42Bp0qJTiE+iHu+HHUGAg+PUIwfdwY7d/WUjNfruZu4VpuHYsHPX/i7aChCxV0rBbUFCFLxD4q/zv8lGeNl4L2lo7Jmw6gwoMTArXxerJaGwizvyH3HlPBAiYb7PLtyuJCeG/++Ecl3J7s956OFfD7ubf/e5nTsmtQ1+GLKF5j/33wAQFWp47wVq+cU4Oqnje/BGbXTVnA1Um8e0rIhRc4wmMxQCl4u7JUTowK9UVrDLxKMiAtFiK8Hfrx/GG63W7HWGkzw9VRBry+DRpMl6qut3AnAD/5eKvwybziScsR/VwwGg8Fo+/x8pP4hqioFgdHO6HvnRsfvRNN6R2FDcgGqXYgg/ZMkFe0b70T918qZfMfVBAxmMzwVUoGnhrI/o8Qm5vTijASE+jmv+XolwTynbRyzTgdqaHgB4cYiNEwBcShFfbAKIikVnJeQEPk/cHsPXu/en0ChUCEwYACUCscS4C1FVdUJ23ZYiNhY9vOohT21tVz9RpUqCO3azUJEuLQOpbDcSFMR3y4AXcJ8oVQQ+HupoNGbUFarx4Uyx78/g6ES+/aPwblzrzoc0xCmdp4qaZv33zy8/x9fniTSR7qCeudRfh6B2nCoTGqcruQUkHNO3ePwenOC9egewhXtVhD+FrcubZ1b87UPZbbPmT1510n4q/1Fc4/24z2GqWc5Ya9350g9qL6CnOJ7vj0iuVZbEgHq9sJGxD7Pyed3i/CTHdMxmP+b9LZ8j0d1DUNkgDhf6GwBF+au0Ui9w0rNbwC4fNxhsaGYGX8OBoP75YYYDAaD0fpY9SPqw3s3SZ+T1kVbOaKDHb8HOlJ+B4ClM90r0SJX1szKzE/2idSEG8P+jBLc9tUhvLOZi+q6Y3hnXD+gY5Oc+3KAGadtGFN1Nc7264/UPk3vWWso/V5rmGKuyWwxTpW8yElU1BwAQBdB6Ku90apWc2GcWl0+ysr3obVRe/AJ+adyxOGq8/v+TzK+XeS1mDQxA+PGHkWvnu+hd+8PJWOaq/6lFW+1ElqDCRPf24mJ7+1yOK6iQipc0xSEeoeCmj1ATWKD5cfjB0HUZfCNexvLDy+XHKekvCGnUVVDZfaAUaEHpRTUIC+iAwAeCuCPtD8A8P8DwKpT7gk86Uy8tPvJ4pOSfgVR4I+Z/Hk/nPAhvFTc95qa1QC4B6CXWnp7FXpOAUBjMKGois+JtV9BbiukWQSe7AkS5JgKF1nUdqFRqw9yas11dVLBqqwSzhD19aDYuasvkk8tajPiZwwGg8FwTZXWgI2nONHCQZ3d1wsIkxE+8vZwvGDfq73j96UX1jmOjhoRJ5+6ZM+cwY4NxNSCasxa2TTvobd9JY4uUrDapiLcNk4JIdGEkB2EkDOEkNOEkEct7SGEkP8IIWmW/4Mt7YQQ8hEhJJ0QkkQIaf2YzEuMc0OG2rbr41Ghej2yH5iHuiPNY2zsS3etRGtPaurzAAClks+v7JmwHMOGbkCXmEX8QIGnKzSUF/TR6cRKra2FycivDPqqxZ7SzgHS8FWVyl+0LzS+zy+bjrQ3roZS0bw3JR8PJer0JlRYvN5zt3wk6m8XORNeXh2Qk7O6Wa6/+sxqEIUeNedeRV3WPFu7b+yH8Ov6NhQeZba2ke1H4uOJUgElb6M/fA2B6FDZHX2/d75Yk6Lhv0PR/rxHU61wrtJnZX/eftt2fo04NMgaGtzOl8+97BXWC8FewUgISYAm93Zbu1w+TZifJ4Z24Rc4fkvMwdBl22z7QgXC1qQhuTXCFWV71emNpwqQl7cWZ1KelhznpeIWA7S1R2EycX9TdZoLknEMBoPBaJs89Su/kPvG9e7rB8gZol4qx6aJs/elPWn8u2nvDuKapV0dRP/YEyRYQBaWrrGSWuBa7LIhNPNr4CVHfTynRgBPUkp7AhgOYBEhpCeA5wBso5R2A7DNsg8AVwPoZvk3D8BnTTbrK5DUhJ44f/1saFNSXI8dOAi1e/bgwp2NU7x1FCJx+9eHYDS59xJdWXkc27bzOXgKhbg8hJ9fDxCBQerpwYVzxHZ5HP37fSM5rqamfsI2jWXb9jgcOMiHpZ44eY9te2Ycp+D69FU98Ont0rWX0aP2S9oAYPiw/zB40O9QKIjEw9QceHuoUKcX52eklHa3bRcUrodWm4uy8r3NPhdKnedUfD75c4yPHo+HBzws2x+oE69+ri71wJI88XcqwduMB8O1MJqN6BHcw9YuF14sx2cn+VuVh5Kf7/Y52yVjvVXeWLkjHbd+eRgDlK/CVBNv65MrPg4A393LLzq98pc4ZLipQoYai9ZY/3l0CeOLm39x5yBJf0rqM6L9vn2+AMAv6hhNQu8se1IzGAzGpUKBIAKoPu81cu+ZKifH2xtxvdrzRmiIL/e8vlhWB18PFQZaStV41yN1KjacN2KFpWvqQ8JLm/DV7vqVtWtuJ8WlhtvfIEppPqX0mGW7GkAKgA4AZgL4zjLsOwCzLNszAXxPOQ4CCCKERIHRYHQpKci8fjbMOp3zgUbnieLuMuYt6cu4lSq7osdynl2trgCJR28UtQnDeuVQqwMxftwZxAi9qQC8vTkP2JFEx7U7mxqdjhPfqavLQEbGu6iqPiUZo1boMan9agQav5L0eXrKK9H5+sYiMFC+TmRzEOitkvy+3j36kNvHN2UeJFFK83JF/ZbQlnl958n2dxz7AVZE897ro3UqVJikt7EeXmacLTsrUto1UfcMrjBv3gD+/OTntu1wH7GYwqHbDmHXzbvwzuazOJJVLqoH6gxnIUs7zxY77GspUvKr8N8Zcdi0s1Xn4bHcA1yYT9s51NfRcABAallXhIVNFLWp1YIadm0kUoLBYDAYrhEK2TlTvLXHPtXFFfZ5o7/MH4GxFqGjITEhKKrWYszbO3AoswzeHkpsemwM9jw7oV7XEHLkhcl4czZf+vCZaT2cjObelzQGE97Y4NqRJMSdfNgriQa5bQghMQAGADgEIJJSao19KwBgfSPvAEAo3ZVjabM/1zxCSCIhJLG4uPVfzC4FyleLwy8NubnIe/FF10ZrPajWGpBX6bg+5AcWMZvj2eVYezQHXRZvwIqt50Rj9u0b1aBrK5Wekj9UpZJ72TWbNdDpHOcbNiV79/EhHVkXPsORIzMlY766MRe5uT9AW/6dre2V/c9ixPDGq9w2FV5qJao0joWQvj19q9PjCwulSrruIqxfOjkhEiaNfKkRexwZxH7tzti2E2uVWHfdOtRmPCE79pZ/b0FmVSYifSKhIApRLqk9tbXpSEtbBkpNopDdlDLHDxgftQ+8VQ0T6XpscjfZ9sKqxtdkbSxXf7gHj/58QtT2mhO5+5/njUDW8hmS9qzlMxzWufs86V4IvaMjog7j2LFbbPsmk3yOK4PBYDDaHlf14hfj67Oe3T3S3/UgJ/h5qmzPp2/2ZWLoG3yajKdKifh2AbJ5re4S7u8pWnhVK5ybTW1UNuKSo97GKSHED8BaAI9RSkWSipR7o6zXr4ZS+iWldDCldHB4OCt+6w7UEnJXd/w4Cl57DcUffYzK39eifM0a6VhTw8IE7T1tD0/sCn/BH+jWFM5AvP7T/XjyNy7XYMXWtAZdyx38/fkchr37RjbbddylUsfdUE0VH4ja0ytikFPTAT4+DSu50xzsPFssmyfx9pGH8OyelxEb6Dy/r6Ym1Wm/M8b/Ot62/cikroDZB9UpUvEjAPA0+ODbZ/biYkoZTAbO49mln2MRg1hPM7oGd4VZH4EavXyt2MzKTMQFxSHQIxAao2MVvrPnliD74iqUlu7G7+d+l/R/NOEjmaPk+W3BCKS/IVVlFjKqq/znemfzWRjcDJlvSnbvGYLDx59CzHP/yvZHBDTs4V5Y+DdWTX0EPiqximO13h/FNfxiwf19fhD1C72oDAaDwWjbRAfzz2B9A9873eXWoeJFbkcVDzyd5K46I3nJVCQt4dOAPJT8QqrB7Pz5fPA8vyBfViutxy7X/sfC1n+nbWvU6zdHCFGDM0x/pJRa5SoLreG6lv+LLO25AITfoI6WNoYbpMQnOOzziOUMnwu33obyn9agcv16AEDR8re4/i68YWQs4n4dFX/+ibwXXwSlFGaNBrlPPY3Kv/9xeI1qLe9pS3/jajw5tQeSX70K8e04oyy/UivxbnUK4W9OwjxTK0JV3vrSJWahaL+m5pyDkQ1j2/Y4bNseh6KizQAAs9lxaDRRhiDQUz4pvmtQVpPOqylQK+XDRc6Wd0eJJgylGufKelqdtF5YfaEmT/h4qJD55nS87aCGWXRlPOqq9PjrwxMwWozTDt2DcduSYbLjQ1QUf5/MAwAs3vsyHt/5uuy45JJkeKo8oTU69kqWlx8AAJxMul+2v0JX4fBYe4bEhDjNmQGAcgcPLQBY9OMxt6/VVBgMZaguX4f7ev0g2+/nWb/QKyunzzwOAPh44nO2tge3vgsA0Ogdv8AEB0uFKBgMBoPRNvl6L1/QvWOw/GKxI24d2glLZ/XGbwtG4IXpjt99rZzJd0+UqKFl+vy91Ajw4p95RdX8QqrB6Nz/tiO1yLY9cOl/smM+3ZFu215192AM7OS+uvGVQn3UegmAVQBSKKXvC7r+AnC3ZftuAOsF7XdZVHuHA6gUhP8ynGAoKnLaT3V6UCd5paYa/g83fQKX15X/3GJU/r4WNdu2Ieexx1D1zz/Ie1qqnGmlSsOfX/iivemxsbZt+3pQVsPVbJaGT06amIHYLvIiN+5gn7/ZXGF/yac4I9hsduxlo6Yyh31tEYPJ+c30QpV4FdJg4jzkCktdWW+vxtfeIkodPFUKEEIwZ5D8+bpX83khqQe4W8XZQwUIbucLEBOUXhWwfy48vOY4AKDO6IMqPS+MIAytqdZXw0vpJRvWazBUoqR0p9O5+yoo6mpOOx1TXwY4eRhtOVPotuBYU2Aw8LlCozocFvUde2kK/nl4NNoFOs8Vrw96Myda8eG2NLx+UFoyxo8GgZodG+8MBoPBaDskC/JNU5dOq7dR+ObsPrhzeGcMiQnBA2NjXY7Ptbx7tgvgnkuOPKSlThaB64OwJnuV1uC0nqo7IkrCUOZJCfLaJFc69fGcjgJwJ4CJhJATln/TASwHMIUQkgZgsmUfADYAOA8gHcBXABbKnJMhw8W5c23bofPnS/pLV62CuVYqLOM7dgwAgNZpoAwKkj13zkMPo3bXbpdz+OXIRZdjxry9Q7bdaBQbjr17f+LyXPUlI+O9JjuXyST1qCUevcnpMXk1jm8otwxxL6+yrXCqNAGFtVxI/fqMaXho+1t4aPtyjB61BwCXb+sOGr0JekEplLmb+e+xvnSMLe+DEAJt/vUwVIqLb3cq6GTb3vc7t7JYnM0ttMTPWYBu1z0NlcAJ/NHxB0TH73lmgs0LbC98V64rx6asTRIDdfeegTh5ci6c8UYHDdqVfyvrTX/t7zMyR7gm3N8TWctnyOZqAsA93zZPGSg5zGbHHuUgb3W96vCez/wIVVVJAIC6uiynY/84lgutSareXEMqUFwiv+LMYDAYjLaFTqDu3lBvZX1YbhEo6h8dBAAI9pWvArD7XNPo2Nw1Isa2vWpvJqZ+4LhevI8TwUMrJkvU4Xtz+rkYeeVSH7XevZRSQintSyntb/m3gVJaSimdRCntRimdTCkts4ynlNJFlNI4SmkfSmli832MSxtqNotyQ3VpvMs/fNFCBM2ZIxqvS03FhXvulZyndvceGPLzYa6tBfHkc8QaUu907TFpzU5XWBeTauvEqqWREc7z7xpCecVB2fbq6tMwGt0L+Ug8OgcnTs5Fba04RLi2NkPSJuREUW/UGOTVSKv0flh+g/M6nC3N9D7tXIwgeH7fS1iw9V38lXE1jFSN2YPibSJU7pLw8ibc+hX/ezlcwHvhdMVT4KXmbzeGimHQ5t2K5LuT8c+1e1CXLi9q1G1whMPrJRWLRXqiQ3zwzJ5XbfvXBfKrppU6bmX3UD5X+LqmNg1lZfKlfgb7yEclaGRqb36zL1NmZP144/remD9OvFq8N72kxcrKmEx1su1Zy2dAUQ95e72+FJmZH+JI4vUAAIOxUjLGRJWiMHMzbf5SSgwGg8FoPlq6DMq4HuG4Y3gnLBEI9XUMlooT3jsqpkmud9vQTqL9jGLHVQf0btQqX/wHVy+9sWJQlzPszaANcPHBB5HaqzdS4hOgS+cNU+LhAajVaPfaq4g/lYzuRwQv+w7qnVrDeI2FvKJt3dGjDq/tKDw4NpwzTA4/P0nSt+z6PpI2gBNJysh4T6S6qVY3XSw9l/LMERIyRtJPqRmHj1yHkycfkPTJUVl5DKWlO2FfU/HgIT4R/qvkOyXH5dS0x/68oaK2AQO4XL0Vxxa4de2WZP5YPv+3d4cAHH1xsqj/N0uhaYPZA9afhclMoVA4r0kKcD/z6ppUW/7x0Qvlon4Poxf8taEYovHBpw/ugNGSZ3jmtauQbBEc6BgUiCeKO4uOU3mXwzcqCSEdHJcwoYLb1+OTubqtL87g81UmBnDfbaGY0aJti1BauguHDk3D8RPS3y0A3BYiHwqkVPIPv6IqLfos2SwZE+JgBdcZtw/rjMVXS/Ns4l/ahB1ni5rdSBUap1lVXMj101c5l8uvrc2A2SxWgLaPQKitkQqkjRq+SZQaYDTzq8wqgxnd0vmoC/vzMxgMBqPtYXVMrLxNWu+9OVArFXh9Vh9RuskdwztLxtWnpI0zhAvrrtC5YZxaofXTj72iYMZpG0AYZlu9fQe8evYEAPQ4eQKEEO6fSiXyhtYH3TnHXkBTRYVtm1ITjEZuRah/xyA8OugHFFyQerRuGyZeRQr35+eVdeFTUV+3bi82ZMqy9OrJh/KWle2R9NfWcoZ9RaVrTzEV1Lw8d47ztqnVoZJxB/OHYFeOWElNSUzYkzsCMV35+YQEj0BNyG58eKfzsiytgTAsM6ukDqF2supDZHIkfnYQ1l1VfQqlpfzPvqBgPQ4fnoGDKRtsbQcySm05k9eeeQi3H38Z47XcwsIXj3DhMD4eKvhbBAfkVl07T3oT0WM+hn/sGllxrY+Pi4WLrOp9U3u2w2/nrrO1r4iuQ2TNJtHYigrnQRwKAuy4SRqybjYbkF+pwebTBRi6bBuqBYrWdwzvhO1PjsP+5yZKjmsM9357pEm8s86w1vMFAG8VZ2A6W3HW6Qpx8NBU7Ns/FlpdASg1Yeeufigr3ysal5L6LABApeJXh728OqCLoAbqk8Z16Hq+FiHleow8Uo5OebyBKyzlxGAwGJcCO84W4aoPdjvNS7zcsC6ghvnVf3G2qZg3JlZiHNcn8scZnir3Q5Vr9fIOn0PnS9H9hY14fl2yrS3Yp/V+Xm0dZpy2MdTt20PduRPU0dGSWp8KD8dfZO/Bg0T7HVbwJU6qNmx0eFzZd99Ddz4T2rPnkJy8CLt298X+AxOQk/8X+oYeRnGx1Dtkz/tT/8KqqY9g1dRHxPNVeCIy4hqXx7tLZOQMjBt7wmH/ocN8+LCrWqiFhXzJjMoqTlTHYCiVHbv6zE2Yv5U3RHNrogAQeKm5VbuAgP4AgJn9O9hyINoSSgXB2denYUy3MBx+QewJP/nyVAdHcYSGjoOHRwRmrtyHmOf+xZEjM3Hi5D22/uyLqwAAe1L4BYEFPxy13YDDa6X5t6W5NVi5YDtS9jvWR1P7cB7YnNyvJX2vHngaJ4rFodPWh4e3hxLEbjUyv+B3jPDlHxhCD6gjBr96SNJmpnrMWrkP81dLIxGWzuyN2HC/RuXbzHcgBHHwfPMKcAkViiN9SkBghreTz5GZxeWQ6/VF2LdvFE4mzYfJVIPU1Odlx3fqxEcyKJWeoheG21Q70DlHgwHJVVDbqV0FBorvaQwGg9HWuffbIzhbWI3ErEtLOLEx1Fkionw8VC5GNh8KBcHVvduJaoifypWmljSE+pSkeeNfcVRjea0eJjPFzV8ehN5kxk+Hsm190SH1UzW+kmDGaQtS9v1qZM+VL1VhJe+pp1C9cRMMF+U9V5EvyXsiNYniF+aAadPcmlPpV1/h/PTpyJw50yZCotFkY37f72xj0tKldSk9lToQcN4xfbV8bcQJ489AoWjam5XQC2OltHQX8vPXitr0hnLJOCGeno5zGe2hUMBo5kOKk0u4EMwAf65kT2SEvKhNW8JTpcTqucNsDw+rGE+gD/e5np0WDwD47j4+XHlDcj6o2QS9vggB5g2I9hfnIRcW/ouaGu5GPCh4ta29UmPAr4mOc5Z/XsqFp2//Xj403RXc4gDwyCT+IWT9HJ5qBVQK6crl7DD+IVBDXRunAPDO8O/RNairbT87+2sUVkkVfwFIFpIawuLpCdj19HhJe1OJOrjLC1d5O/w8ZrMBubk/idpKS+WF0axEd7wHQYFD3L5+d0tob8+Ed9w+hsFgMFobYQrGS+tPteJMWpY6i7fQ2w0xoOZEoSB4zJLiAwB70kqa7LwdgsTvDT8fzpY1fs12HvMBS/+DpoX0Iy4nmHHaQhjy8lC4bBlq9+2D/oJYWEUd7b66a/Btt4n2u+7eha7btsqO7fyjuGZh2KJFbl9HSHb2V6L91NQX8emkpzGn+18Oj5EzIl1hNlOs2HrOYeFieyqrToJSM06cvA9nUp4R9REXX+209DclbcHBzgshb70wFnk1kagxcJ/N368HRo3cg+hoqTjVpcaCcbH45+HRGNc93Na28MdjtlDNe3r9jCUj3rb1UWrGqdNiT7mSCG/AZijNrhcmVr+4H5lJ4geIXwfndT5NlDvv3SOkOSYBXmrcNEzqcfNR8aHM7ye+Len/sdQD26v4+fp7VKO9bxesm7nO1paf/7vTeTUFnUPrJ0LVlKzP4Ba0ZvZ2nDNTXiH1KMshFCVTKn0waNDPmDQxg2uoK8PcoY4Xh6LztJikeABqdYDDMQwGg9HWSCvkc+bPFTZPubu2iMbmOW1d47Q52WeXsvPcH8m47pO9qNYacNMXB5BVwqXE3Te6i+TYp3872SJzvJxgxmkLkT6RD6csevdd27ahsBCm0lKoItzz5BFCoAwLs+2rIyKg7tAB7V55WTLWs3t30X7InXcg+quvQAlF9Der6vsRAACUUuTmrQEAXBWzXRLKCwCdOy9wGn7riEOZZVixNQ3PrU1yOo4QzohITJyNrKxPZcfIlcfQGkwCw1fqGQoNHStpE7Lm7I14af8LojYvr/ZN4jVrbQgh9SoZkpv3s6RtcuedAIBgz3JAoYWn0XXISlWJFhs+5X7fKWpu9TU4bqfTYyYnROCHucMkubNWRve9GwfyBovaQoJ5j3AHD6nxdaROhQwdfzsM8KjGdZ/sswk9AUDnmKeczutS5PCRWbbtEg2Xc52U/KDD8e7WH921u79tW/L38XYXvJT7oMMyOgCAY9+7dR0Gg8FoK1wGrwINoq6NGac3WmqpD3Wj5mhjMFNgW0oRDmeW2Wqh6k1mkSI9AGw8VdCs87gcYcZpC6A5dVq0b61RWnvwINLHjYe5rg5efeQVcOUwlbgXqqDwFochEC8vGPp4In+lAZn+YuOCEveS95NPufa+ent1dOtc9liVy6q0zlU627fna5Cez/xAdsyRxOuRdeELVFbxK1b3fHsYA5dyocsR4VdJjukUfZ9te3fOCDy5a6nDOdwpowx3uTBW4D11xNmzL0naevnmol9wKt4d9wqGx6/E2PM31+u65Qru908dlBd5atereHLXa7h+QEeM7sYt0Lx/Uz9seVy8qECIArV2pX4KC//GayNfAwCM9+eM4N/KuVDgNWVcLvdprcqmOjgiisuhNQuMsQtZ79pC2YWsW+jc415fvrhzEMb3cP07aAiVGgNmrdxnC0eqrubFGRQyn00CaaJHRqlFyTc4hm+buRJQW35vVblNcx0Gg8FgNCvWsNXWDuu18vYNffH45O74/M7m1y2whnL/dTIPi348hqyS2noJKDHkYcZpM1P23XfIuvFGUZufpdxL5To+ZLBm2zbRmC7r19frOgFX82JA1rqoRGUXVumhtpV5KSr+Fx6xvACLsYN7xqk7Akn5FRW2MI/6oDNwL8dmF+/ISqV7SeQZGW8jMXG2bV8oLGM2c7mDwvBjQvgbyndnbkWFTt6T+OeiUVg6q7dbc7gUOLUrB+eO8Ct7j0zk8yw/OPao2+fpaFDhrihO5GhWZA5iyvmf0Y3PDcaCT8Y7PT7ATPCLrwZ+Uadl+8t1wajQBWHdcT6fdfbAjrK1wvbnS3McJ3bi/u721ags/6vxbI43DtVy+9rCGdiVMwoAcHUX7u+xTiNWyr23F5dvuemxMQjz84BKQTCgU9OVSwKAq3q1w1d38Z7fAZ2Cmuzcx7LLceJiBd7dclbS16eD61B8YrHe1epQ9K6Ob/yEfMMB//bAoHuBfrcBc7c0/pwMBoPRClC716i0Qvdqrl+KmM0U+ZUaAFzOqVJBmqx0S2NRKAgendytQaXd6ss/Sbyw47/J+dh4qgA1OqOsfgTDfdrGN+kyRXPqNArflIoJKfy42o3GUrGaW+effgQABM25EV49ukuOs41bw70gR73xOn/OAD4/Sxjiq4qMtG0XFfPlPgAg5tdfXH4GhYIPnTQY3FM+++nASdz9zWHXA+2493+ct+rExQqn4+Jin6z3uYVs2x6HzKyPoVB4YNzYE+iZ8C5GjtjlcPyOp8aLQhDboiJvY9i15hz+W3XGtj84JgQLx3PlW06VxOHZPdKQcTmoSQ0PJSfeE64WP6UjQ+ugfCNM7jAbvQ0qlHjXOR0DAFN6Rrocc/OIyfj21K14aPtbtjZfi1eOAqixrJ3oKB9+4xm2FYcLxCuthw+LQ09HdTiMp6Z2R3y7APzz8BgcfXGKy7k0BLVSgTdnc9EUNVp5afqGYH15qNIYRCHLz+55Gdf0CeIHZu4G8k7w+3nHAUpRffxDAEDv7ssQeXwvBh+vcHo9P1+7eqnClaeM7YBBC7TvD1y7AlDYPY7MTESCwWBcOjzwvbhM2eUshPPpznSMeHM7skvrUFCpg8lML4sUp/qyN10+klFOP6IljOXLBWacNgPUaETpqm9Q/vMa2X5zHRfWq47mw1/DHnkYPgMHIj7lDKKWOg4nBQCfAQOQkJqCoBtusLURhQKx//6DHkcTRR7Tbrt2Qh9tRtFiA06ffkx0HqWfH7rt3YOwhx6C4B0d87e+h4+OPwBTwPPw9+e8X5SakZf/m8M5DRr4i03Ftkrvh8ONkFHXm5y7ThWK+v2BHz4yU7bdGrIZFXU9vL2530Vcn6O4f8sK25gx3cLQJYy7yRx/aQpSl7qngnwpIjRWPt2ZYdsu0Tg2Kn9IuRHzt7wPAAiK2wOjXvq7M/cL4owd6vxBfUZthIeSD+nelj0GALAufToW7+VVqlX2RowM4f5e2Js3AhojH9quUqgwPXoEOnmYoafSh2ht5iNIK+ejCW7tsVYyBgBusOSztAv0sqkENwe3Du2EGwd1RK2u8capwWRGzHP/Ys1hTsY+6WIxDh7iQ9uNZhV6dhMoiX93LfDlOM4V8PFg4MvxwMqh8EzfDwDwqubuYYHVRgRVOA7D79R5nrjBqOG3938MFCYD+QKxiHaCiIT/3FsUYTAYjNbmSFYZCqrEWhfuPKsuVXZZVOTzKjVYe8yxOv/lxI6nxuPjWwe4PX5W//ai/ffm9GvqKV22XL5/Oa1IzsOPoOidd1D5u/jltsdRblXNXMd5h2p28t46n/79ATSuJIVnXBwUvtLVmpLFRhij7cN2uV+9KiwMoffPtX0T/nf6dhjNapws7gN4z0BlJVeipq4uC+kChduIiOm27aioOQgKGoyNmZMBAGfLuRIfyTn1qzG1aEKc22P79/vW7bHV1byke8+QVNkxA5f+h5jn/sWfJ4tAoUD/6CBkLZ+B1XOH2cYE+3o0qo5lW+fCKb7Oa5gDsaFKnTj0s5/vWdxSzX/n9LXSENc9RAfoqgAA8V7bZc+r9KhGr3HvIdSLn8MfaddiQ+ZkbMqchKI6XjBs9sAOLj+Lh0xdMoOhClOxDZ08zAhRScPYqSEUVHBLnNxZ3pvu1Yz5JMbSUtQdP27b9/NUodqFcVpUpXWpcG01cK0hSF9MeRJ1dfwChMGsFoW12yjPBErToPVQoFqTAaOKuz8pcvk5DkqqxITdJRg86HdMnHBOFNkgye3W1/LbGZbvgqP80lxpPVkGg8Foixy9IC1fl11WKzPy8oBYRCUPZMjXh78c6RLmi8kJriO3rDw4vqu4QfB6v+eZCU00q8sTZpw2AzU75Ov+ER8uV1KTeBTUZIIxn3tRDLzxBviMGNFi8wMAf78Efl6enrBU54Dasx0A4Oaz21CzcaNtTG1dmm3b17e7qAZhQvwyAEC/uAm4f8sKXKzmPEvXfrK3XnOqq0eeqr2ybqkmGCll3TB2jHwZEp2RO/ct8etk+60v9yu2cp/z+gGuDaBLHbPJjJ+WHLTtb/w8GXqtEcUXq3H/GLEc+twtH6HAdzue2PUGHtzG/+4D0qYjysTfRsJ68jVvfcLPolRhQq8OAcDpP7k2ZYXovDOCl+LqoDfRbdYT6BGSjueHrQAAfH3iTmhNXlibdh2MVOyddGcBZ0RsqG17S9Z4KJW+MJnFIcMKN+udCjFT0qwLFGmjRuPCrbeh9sABAJxxWqMzirza9gxdts0m9OUIg8l5TrnBruxPta/lM1qMyX3DQ3B4UDDOdeVSEpR7VojGKwAEBg4AIUp4efF/OwqFl/hCunrkYNVdOUXsGQzGpY1cvuXfgnzEy4n8So0tOu7DbWkuRl9eeHsokbV8Bp6f7lpzwf5VpX/HIKgUBGseGI7oEPe0U65UmHHaxBhyHatMWl+qa3btQvVWXgCp/euvN3msvkZzEaWljvMoq2tOIyX1Bdu8rO//Q2I44/SelI1I+Ppt9OrJqeEmJy+0HTts6AYolfxLJ7EoeHYO9RV5nuTYllKIu745LClUDADf7suybW857Vp6u3On+bbtb07fjncTH4ZaHYhx48Q3y8CAAej10t+4r/cP6ODn3sNiVNdQ14MucSoKNSgv4A02s4li0xfJ+PWNI7h7mFiNeGJ8BHw9OAPGJDBktBWOa/SqfErxt6+B88LGc7mbVrXbgb5rMcLvO3T2OA7SPVlybBdP+TAhd1ctIwK88M6NfQEASoUZJlMtMtLfEY2pyngYJg23kDIgwnmoznenOSExBaHwlPHK1puvpwB73rPtmmtrUfb9att+9r2ccnSAtwqUArUNEBgDgORTDyMlZbFFUdCxgao3iUPlDw+yeMB/vUt2vMJq7BIFMPAuwCcUMHIiYxERvDib5L629RXpySLtlMqvsShwRzSB4BKDwWC0AIkX+MW0t27g7mlT3dBHuBQZ8aZ8BNSVxDV927scE2OXdxrs64H0ZdMxIu7yf79sLMw4bWKMbpZ5IZ7Nmxi9/8B4nDh5H8rK9jsck5f3M3btHggAMPtxL5uVWoKrs3hvmlotDdN0ZEhbixALqazj8tEopTCWlWHud4nYfa4YtXrnoYpPuVG0uGvXZ/g5WV68t5wuQNcXNorGKZW+6BGSjlHtxSJNvr6ORac8lJdP+O66945h5QLpw8QsI4ucm1YBAFACAAWUFMhaPgPf3DPEVsPMJCj1Qk3y4b8AYKgNxz1ju3BeWEvI6ADfdUjw3opBvr9joN+fAKE4HyMNRdfW+Uk/x8KR+LIe0vDWWmeTOu0GABQU/inqpyYf1GU9hNcGfYMvp3zp9Fy7c/lyMXpDodtzkIVSIOcwsO01W1PRig9RuGyZZOiFUm7xIL2o/gXdzWYjioo2IC//V5w9MxerpnLKy8LQaR4Hi2Nl52WbFVY7N7QbJ5ZUVwq8zoVeO80JT/lb2na/nde3363A3X8D133s+DwMBoPRhtiQzC+oWxXck+qZ2tRaLPnrNGat3AejC70PBk9UoJfLMR4qBfY+y8J3GwIzTpsQSimKP/xI0q4MDUX8KbF3qPynn1pkThnn33PabzRyN8+K+zjPjEFfhEdO/G7rVyrdD31ML5a+QO/P4Iz1it9+Q9rIUehcxXkutQbnN8EqO4XSGp0RFXVc6C2lFDtSi2A2U/hEcC/4GRVcGOrDa7hcuGVHl6NPn08BAGXle2G0C1sEAP8On+F4tjRPBACCfZtP6KYloZQiz2Jw2nury/Ic58MYdCZM0KjxRKU3qko4ERs/T+vPUGrIFCfPkrSpfUpxz5hYruaXmft9eirqMDFwJTwUnHCE2cEd6DX6Pe5VihcZVAoFFAr3IwycRSP8WOoBmDkjamxMX3ipvJC1fAYOLJ6In87e4/S8+/ePc3sOEs5uAnYLPLgG7udgKhUvanl0jYNZr8fgH1cgsrYUO1KLMObt7bj/O7EapBD70F/r3zYAED23MDM48jjeHvuqaNzHx+9HoDf3fR8Y9pitXa/mfn5y/lbbT3bEIqBaaqyHhk6Al5djr7oItbd0v8tYwEu+lBODwWC0Vfw8VbYQ31V7M12Mbn2OZJXhf/uzcOJiBb6+BObbVpB7v5gUzy3Qrri5v62tY7AP+kUHYUw359UKGGKkb+yMBlP1z7+o3S/1VHbfJ829rN29pyWmhKqqE6J9L8/20OryHI7PqQoR7QtLycgREMCpj5WvWYOscwC8uJI21w/ogHXHc/Hgj8fwzT2D0fW/rQCADjUluBAQhZpDh2DYsRkRjz8OU1U1Nlc7v07vV7j6qlnLZ+CtTWfx+a4MvDgjAcAIvL6FXxDQGTmjN6PURyrGIuBYYV+s3MLV0/TxUIIQcY0yf69L1zit1FXCU+kJL5UXvnxst619329pGHMz7y3+75szkmPNRu6H8P0L+zHYyN0eVr/I5T92mMSHsZSdnQKjQBzJr73U091++CqUV4zBsVNPYcT5UNmbjUkpb0CqTBSvqFcjbPJjuKpXO3y+KwMJUa7rcMqRWNAfg9udsO1/VeSB0zoVrGtzoVbxJ101oo6vxKp5z2Hbrv/ZxpdrxUYSpY1Qz11zs3hfWwmovaC3SwfQp2egdt8+xJ/aj/+d2o+rfd8FAFws0+DrPedx/5hYFFVp4SUoer7ueC5mD+QVwPMLpPnVvULFgmBzbX87BuDgZwje9CIwlnuInugdgKHHK6H1crKGOfAuQFshUdbt3+9r+TxZ//ZAdR5neGorgVtdl7NiMBiMS4VTr15lq/95KXDH14ds2xkNiNCx8sikbk0xnUuKoV1CcDiTD+d+bHJ3nCuqxoT4CNG49YtGtfTULnmYcdqE6NL4XMewhx9C2Pz5gF14aMRTT6LoXd6bGf2V83DCpiay3XUANeNCNn9da0kVAHjsbfFLpkoVINoPX6aCtsNZePXogUkTObVPY0kJCl59DT8BuHrWu9j46BhoDSasO869cH+74QSe38MZ4xMvHsX+9n2gfWg+tAAq1/4BAHhk1rtuzf/vk3n4fBd33df/TXE5PjxsCopL/sPgSF5d9GJ1e6w8yZfNsBdiemKK43Dftk6doQ6jfx4NAFgVsh5GHf/ZknbkiIxTZ1iNVCG52/JAQmvhFfUbzqRdi7A63hDS+uXB3seuLY/G2fP3AACqS9IhDRAHUrtJw3cBQGXxrC8cHwdCCN5toAT789Pj8dF/N4mM07uq4nGw6wx8n8KFCtvYuRw48Amgr7HdGY8W9sOXyVzepb2R6zYmI1dGRyWzAPPNVEBbBaW31BurS5VXln793xTcPyYWQ5dtg1pg3OeWi1+IhCrVVsZ2PGDbTi3jlQSPvDAZeE/8QK325xZocts5CF8K6MApPvS6XrbsC6kr5USNtJVcrml1AWeYRvUD7tkAnFoLdHe8gMRgMBiXIsp6RPi0NtYFfUC+xrzZTKE3mV0KAV7K700NZdn1vfHkryfxyKRu2HG2CH06BmLPMxNbe1qXBSystwnxGTTQth04cyaISiVx/Xt0FUhLq1TwHT3a4fkqq04i+dQjTpU63cWaBxYWOgGxsU+I+srKHKvqEktIKABELlZDnaNA5sxZojHGMn7laEfGd0iICoCPB7/uUZvDixCNyj8ldlE64fsDWQC4kF4r1rBddziVW4lKi+d4Yif+MyqI8+v37XjphhOeKD4BAFCa1Djyb5bDcbUVugad3yNsG1T+qTAq+QWNnbFrkCQw8M/98RHMRg94efPm6LH+QUjt6ov0GB8IxH1RHCbvMVdZnpcNFgrLOwGYzZg3Ng41BrEB3DGvCvG+UwFwtUptWL+Xp/6wNX16ci7enTMEAPBb2nVuX16rzUNu7s/czvvxwOsR2LY9DnuGiyMTUJ4FaMqgyN0pOYcwRSC8Thx+brDkBglVeFWWULKqqmRUVCQiJMTxvQUAzpT24M+vy7ZtKy0vK4GVXL54dbiDcCRrCZigTvy8LmQgJT4BNTu2Ae/EASuHAKsmAxf2AWWW0jXVhYCnHzDobqmcIYPBYFyihPlx71nEUQ5/GydNxnP60vpTiH9pE8tHlaFrhD/WPzQakxIi8fqsPq4PYLgNM06bEGv9UgDw6NhRdoyxqMi2rfTzc/rynZg4G0VF/4pyx9zh6NFbJG0jR+xGQvybCAwcBIVCjYEDf7b1GQzyeZcAkHXzLQh7U4Xgr1RQVsrP1VzNl4fQJnO5tT3a8SGY1bV8YepSrwB4mpzXZLTy8vrT2HQqH/8mOQ5DdsY1H++FXl8saf/93LUOj1l2fR+M7xHhsL/VyD4I7F3hdEhqWSqMltxOL6O8THlZfi1MBjNSD4pVi8Oi5T2Y9igUBvjoA9CuOtbWVux3EfkG/lZiNnpDofADvJJEx+a298aFTj44HS8Nz+16vhYTdnN5l/7VjQibBYDcY8CX44C97/PzFjxzvXaZUaPjDK+A2ixAb/m7tYSkoyoXwxLLMarvWmQtn4FZAzrg5MtTMbEnb8y54kjibKSefQEXc74HaotteZt6DwW2jQ1DUZhYNEghU3dViLdRvJjQzU70CwByK+pwobQWRxJn4eixm1GQL182yUqlXhAVUcRHIQw6yd1vKgM5z2mNivPI9uixFAAQYA6SnIuagbT1kUi/6hoAQP6zT0rG2KhxrcTNYDAYlwpWw+3O4TEAxPn/TeFcaA2qtQZc8/Ee/HiIW7js+sJGVNYZZCst/LagZUshMi5/mHHahNQdc+3V84jmRUJMFRUOx5nN/Au6yVS//IWKyiPS63qEoH37m2zGsKdHuK1PpQ4CAPjslf86eFxUwPu446+KqdyxcQsAIdoq2/aGmOEYk5skGaOyfF4PmPFLRA7UJm5/wQ/H8Nams07P7wytUWwEREffh1OlCbJjO4X44LZhnWT7Wp1vruJCI8svALVStdUafQ3m/D0HS/YvAQB4G+TzM9e8egifP7wTB/8Uq7BOf7CvW9O4P/9axJWKy66U+eSh0CBeuCCKKjiiOMwTpcFqFIbzv5vaFUEgFBi/pwRDjlfwg80NKKFi9ejl8jVvI15Sw/M0QeQLapjyC7BsQyr8UAffL4cD71rCkQSLJn51Jnh9wofaBvqo8fac4QCAoKBhTi9fW5thWxQ5d+5VUAqY7dZ1knuKw+Wrsr1AvL0Ru2EDIp57VnJOlRs/h58PZWDcOztt++UVBx0PBnCskAuV7hbhx4XeWvCt46+VkR0En3QuCiIocBBGjtiBge2ek5yrOtcLRg0f9mWsaphnnsFgMC41tJZoEy+1nY4BgOKaS+teaK0J/9OhbJzKFT/HP9yWhqxSqZCiVVCPwWgqmHHahJSvXu1yjM/w4W6dq6aG92TU1cmXc6gPhIjzBTw9+fpbOTncvFWF7oeiUEEZktpD4hItKfFi42/JoW9t22qzEU8el4qgeBk5w+AFko6AL1dgRiYvLDW+R7hkvD3RId7Y9NgYpL1xtaj9qd2vifa7d3sBZiqfO7Hx0TEur9PqfNgXFe91xa9HVsBM+d+BzsQ9AIs1nFHkr6tfHS1PH/fSz70qAjEqa7Zt/8cBr4ISiiIjdyvJvsgZuRTOvZ/lgWqcSuANNGIkqL7oBSUFSO8b+YEFSa4N1JS/gTW38vuWurugZlBKcdO5bVDoCEJXqqEs577j7+BznPLi8o7P/eKDlPgE1KXJeOj1daLdgIB+zkulAKisFC9Slaf7wGwn/OSl5T+TUUdATQpQjQaesV0QfNNNknN2r7jo8HqeSh1WTX0EX0x5Eu193S/6Xmf0gZdagT8XjQL+esjWrhAsjGfdoYLG8rv08uoIb+9OvIJ3KC+AYfJo5/A659ZFojyd9+RTCpR9vxqmGvFLzqXqYWgpCCFehJDDhJCThJDThJBXLe3/I4RkEkJOWP71t7QTQshHhJB0QkgSIWSg4Fx3E0LSLP/ubqWPxGBcFnB1pGHLyxTmnN7zjdRZ0FawenwjAzwFbdx9WGOQPne/2ZeJie/tkjkPu3czmhZmnDYR1GCwbXc/5NhjQQiBR1ycy/OZzHwobHHJtgbNKabzQod9SqU3evfictrKyjixIuIi2tarL+9dq9mxw7YtZ5Q7etG85Zx88WarcTqi9BwAIEhXg9G5J7Hxz6ewY79r4aONj45FfLsAqJXir7TG6IMyresc0vPLpsPXsw3pg5nNwP6PAZ00B2RM545YemYV1qSusbWZqPhB0jef9/oNmxkLR/QcFYXbXx0OtadjsYMR18t/X/UKLaq9uHzjAL0JL+d64TNDLlSTi2THCzGq+Ie3+gK3XVbSF7hhFXDjKiDAEhb/5Xjglzscn+iD3lz/2Q28EWsxTk11Bly49Tbce0YaAtv7z3TbtknHffbyXeek5/9kiGhXqfSByVQnGWY2GwTfeXFujqbYA1X+4u8WtXx8SoG0dVGiPoWPD5RBQaK2HrQaX981GE9fJQ0tvqoz/ze1ZMRb0s9g4cGtvOhYv6FnMDw2BHuemQhfOI/M0CVwn0up9MaxqlrEF7ZHqSoQCOnCf56E2ZLj9NVKlKb6wqRToiAxCLWFnFFfWdkbhcuW4cKtXPoBpRTnZ12PtDFjnc6DAR2AiZTSfgD6A5hGCLGudj5NKe1v+XfC0nY1gG6Wf/MAfAYAhJAQAK8AGAZgKIBXCCFyemUMBsMNrMapt4xo0Jl8x1FErUlJjQ7HsisAAPeP5t8Rer2yGRfL6hATKq0/LqRDEC+BaPUYMxhNBftGNQG6tDSk9uENN2Wgc2NIn5Hh8pzHjvF5ozU18qqdchgMFbZtP794p2MDA8XhmVbjNHbDBoTcd59kvKdAzCln0UOSfiFUr8eq46uw8c+nXMyYI1JTjuUHvoJp907ueAK8cIQzen/a9JqTI4GPbh0gqMEJDOwUJOp/ef9ivLRvsU1dOGPZdGS+Od3W/8q1PetVP7NFSPkL2PIisH0pkHvU1rwwkvciLz+83Lb9+M7HRYfnBPKG1uCrY7Bg5XjpNQgw4c4EBEX6iHKfF3zCjw0cpcfd+fI5umv78sbO1TW16KAxQqPWIK+968WE0k6dbduGzpaV2nM5QB+L1zRIUCPz7Ab5k+hrgUqBR3Hjs0AFlx9TV+yBc++egebECZdzsUJLZCIUqnJEuwqFJ3RasXdSpyvCjp3x2LW7H7Ztj0NK6mJbn/cRBaqyfXCij/ieYFZwLzE1efKCUFGvLxXtTzu5GRM6emPRhK6SsTO78sa3UiEvWnGuPBaHX5xh2w/z88TP80YgPGcL8KY4P76uRD5EixAFVmQVooIqsDFsDNCD/xuCSloPOePfSBSd4D93bYEnsDgX+Zu4BQ1dWjqKPvwQqQk9oUtNhamkRHIOBg/lsK5WqS3/nLksZgL43nLcQQBBhJAoAFcB+I9SWkYpLQfwH4BpzTl3BuNyxlq33VNgpNm/h7Q1rvloL276glNvt1cXXn8iF1/udh6xNykhAsdfmoIl1/ZEbLh7mhUMhrsw47QJyJ57v+tBAiIXS3O2nFFRccj1IHAlYXbvGWTbJwoVRo3cixHD5T2v9jVM/4wZg+0z58MztgvCH1okGR/5/PPSa2rkvS7GoiK0v+DaSLHy7p6V6FfI55bGVYpDLCNqeUXgAC+VpcYpoCDAdf3ai8b+sXAUspbzL+Iaow/yannvlFJBQAjBrUM7YWrPSNw7qgvaHHrLO+ihz4GvOGnyqztGYY+P2Aio1HG5gknF4jxe66Om19gOAAClUuZP3cFrrVLFj918cRPgQN2YCk6wsKISKZ6cZ+yPtD9kxwvRGl14V6e/4/IcyNon3j/yFbCiDwx5BbiwzXXBa0rFwtHVF72R8nN7wMNxPdXS0p3Q6vJAqRk1tWnIz1+L7OyvAQAmkzQXRzPEDGOE9OdHvYOAaz6AIXKyuKOMeyFQRUZKjtFncgXS7evJHcgb7HC+APDojmV47+gi+HmqMGb0IYwZLQjDl/FKX9jqOIx+SynnBXiqx9NoVz0A7XacgMFMUfjRtw6PMSiV+HXSDBj0Sk6lV0DpZ587nTtDDCFESQg5AaAInIFpfTi8YQnd/YAQYr2xdwAgjAfPsbQ5amcwGA3APqwXAG4aHO1oeJugoIqPzqvSGkR9724559Lj+/2BCwj29cA9bfH9iXHJw4zTRkIpFSnwukPwHXcAajU6fvppo66t1eahrIx/Qd+xU5zrGRY6CV5eUfDxiZE9XqEQ1y9MCYrBHUs4o1ThI1Z7jXzhBSj9fBF81522Nmo04uyAgZAjY8pUl/M/FySvaAwAQwrF3uIgPR/eGh8VgPvHxCLltWk481rDF/zfnN0HX97l/MW+1dBKHww5arFHq3/uZPzw6FFM/kTq2Rycw+Xe9p/s+AGptAvFGXVjV1z3WH8AQMdeQQCAtDDOa7u96w+S4/sIxL08KdDREtp+VcxVGDvmOEaO2IGJu0vQP8l9temqLVu4DR/XxiV+miPbXLTiA4eHPDbxYdu2tlwNs0HqMadPZwKzPpM9XqUKAgAcODgFhw/PwJmUZ5B9cZXTaRYtMUjaKDUCg+9D4e98fmrU0HLgf9zvUhXOGYih8+bZ+rNuvgXV27fjwXFxWDg+DqlLue/+iPaJDq/91K5XUWPwg9GshkqpgIdHGDw8nOQj+0c57NKdPw8PGXXxMoPz/OKpn/yAz268A4OeWo8sjQ4TPluDvDBOEfu/0RNwpovUG8yQh1JqopT2B9ARwFBCSG8AiwHEAxgCIASAVFGrARBC5hFCEgkhicXFUtVzBoMBpBdV45qPuVJ1QuP0WrtF87aMKy+pHPHtHC/iMhiNhRmnjaT6v/9E+x0+/NDlMUSpREJyEvwnTnA4JixsMvz85FVlrezbPwbHT9wlm9+pUgVCoXCeQ6lUio1TjdFbNmcCAIJv4wRnIp7iw3RLV30jGtP9sHMP7+Nj+VDgP2NH458uI52OFzIrY49t29Pi2fP2ULosDA0AkxMi8cb1vd2+VmNJiU+QiELVC0qBtM2ipjr7erlGbwzP5gyZ60+JQ3qF6DW84dBtCO+N8/JV4/onxAsL/Sd3QnQ8V4ez542B2NjjS9R6VgAAzoWLRR36DPPByqvF3rK/c/IxP3QIlo9ZDrU6AN7enUAAhFYYEGKWF8wJ1CWg3RO80V27x1KP1tPBg49S1wJJGnlj2AyChaF/86cyEphNUmPLVFEBBAtWg0XqyNy1NZosUOpiHk4wmWpAjWKjzr+Dlgsj1tVA3a4duu7ahfDHHhWNyVm4CN4eSjwzLR5eaiXuc7Jq/eDWd1Guq2cq4SMnAADqbOnP5fz0GehzQZqSUKSXGt+OGH6Qi6b4eQr33V12+zwsemYpJny2Bte879zIZ/BQSisA7AAwjVKabwnd1QH4FlweKQDkAhCuTnW0tDlqt7/Gl5TSwZTSweHhrkXpGIwrkcnv77ZtewmijoQaFm29RmjXCD+M6ebGgrCAX+az8jGM5oMZp42k8I1lon3/qVMafc6qqiSUlGwVKfY6nUPh39i5q5+oTaVyvapFiBIeHhHI0t+LT0/ei9OlCVALVEU7rFjBj1VyRqDCg1cqLf5A7KFSBgQg9IEHZK8165plSA2Jse2v6zoWuzv0x9GI7i7nCQATco7j5Wt6AgC+uHOQi9Fivr57MG4f1tn1wCaGmhpgvBh1wKtBwPmdoua3Q8RGxn1HlkOO/278D48PfMK2XxfEh0P3HsdH7t3y8lBEdhGXM9EatXhsx2PIrMzE7C2zcCHktMNpjrylP5SWvEmFJYhYBeChxLVQWRdFBGJOff1vR7euz2PokH9E5/F5PB0KLf+dqztmKf/i4UCM4bNRwGshlkk8LDukKlu+xuuFgEjMVO5HaAJXl5fetAZ0iPQchsIioLPgwavhf4bBQe6pbTsiIID/OzUJQuI7TSiB0tOyyPRmB8BsgjoyAkShQNzmTQ7P99I1CQgLmyxpv3/LCujNzlWFsdPuO3THH4CaW7AKe0sFIohSbvc0t4BwtJNUXOuZs+K8XJ8IHe5a8h4mfLYGN73xieylOxYVIDdMXE+41tsHv53PkR3PAAgh4YSQIMu2N4ApAFIteaQgXOL4LACnLIf8BeAui2rvcACVlNJ8AJsBTCWEBFuEkKZa2hgMRiPQGcVG6JAY7rmtb+PG6S/zRsjqGViZ1ku6uMzKxzCaE2acNhKfQWLvE5EJe6svRxKvt21HRc2Bp6fjMg0AcPrM4zCZxKquTkP3BIwZfQBLdw7A0UJOHEk4f+/+/RwdJqHbXs6zGTpP3jidN7UnTrw8BWELF8Lo4YUinxDoVB54dZhUeMkR943ugqzlM+Dj4Z6q7sHFk7DnGcfe6aYg79lnHXpK08aPh9FFDVgJSdIyOwBQoOI9xH5OvGHtfNuhZ1BP2/6B/AO27fZdg7Do84lY9PlE+AZKhXgSCxOxLXsb3josr/i6euDL+GbIc1jY8VaovDkjZu11a7Hlxv+kg3U1nJFlQTlkATp1mgtfT7HyL7EYtt79+wPgxMJS4hNQsXat+HxLArl/RRaDmVJOzdgO6uQd4I2hXMUM/2gu16Yu6QzKM6RCDjU7d4obNPzvMDR0vOMLAIiMvM5p/8ABP9q2dXlZtm21r91ChtUAB6DwkxebqK4+A6OxCiZTHQIC+PuQMehTULtb+8g4mfvBzjfF+10n2TYJJYh6mjduFbWO72vHq3n14q6P98aKBXNxMZILaSsOkb8PfXbjHSgNkn6PH75QgioXYcJXMFEAdhBCkgAcAZdz+g+AHwkhyQCSAYQBeN0yfgOA8wDSAXwFYCEAUErLACy1nOMIgNcsbQwGoxHYv/5N682lSRiMbbvUireHEsNjQ3HyFfl0rLZuXDMuP5hxWg8opRJDpGqDtExFY9DpxPmrCoUn9Pr6q1iSJvjVKvw476sy1LWhqwrjQkIU3lLVTgB4cmoPBPl4IGjBQqQ8vhpKy73aoGy+8i3tAr0QHSLvRWsqKtf/JdoX1n81FZcg76mnnZ8g+yCw+QV+v07+HXGMxcsWpInAHceWSPpHn+drg6rNvOGpN7moDyRgYyb3XbZ6RK14WcK/az0roVdpQNT8z7R7cHdE+kYCLwlCX6vygVO/i0+u4L6P+c/xYmB+Zt4LZy8Slv/iS8AIJ4rQRr6wOTUDukoVUn5uj8zNDsIPf/0L1X7cvM167g2i5NPPUPatVMin2pr3amU3r0rsuUkqemRl0sQM9O71AYL+p0Tk89JVZVIDKMz8973wbd44VKhkXl4s5ZUU/uIoiOKVK0GpCYePXIvdewaivHw/qqqO2fqDgqR51O/f1N/hvAEAS+RDoQ9fWIKlRR85lYQFeG0t9XUvYU3UDKdjrfg4EFPrvvcUbjqRjmzNpVW8vrmhlCZRSgdQSvtSSntTSl+ztE+klPaxtN1hVfS1hPouopTGWfoTBef6hlLa1fLPsZoVg8FwSI1OvJAW5C2OVjFYjLp+r21ps3WcvxREojnyhhrsjNNRXetXR53BqC/MOK0H2iSxIqqpRuytFNYBbSh794nj+HNzfwClRuh0hQ6PUSh4g7B7t5cAANGd5rp1PZPZ8Q1T4euDsIcfQqdvxbmlnb4R54bF/sPn8RGVc2Nz95qzKD5UhCcqvaFw4179/sMrcS6oI9R9Gv+zbQkyZ84S7dfu2wezRoPSVaskOYbI2gd8cxVw4BNeAClIXsBoeSjnSXuwyyOi9mJfTnSzd+EYW1vuOc7TZ1DokFyS7Pbc/8rgDO308nRRu6/aLsRWI2NACxcZ9n8MJP0qe42qzVsQ8aIaPbu+i3jdY7Z2734yXvqr3gC87EqwGC1L0wbeW5f6a3uc38iFiOoq5R+ufh07IJxUAJDxUtoRdMvNlutbjEdB/m/xO+/KHCGcoBk+h5VQVhB4pIiX0akfYCwuRo8eXJmY4lA+j1ehlPljOMCFxApD6QGg5ONPoNNLBWqOF/WG3qSGp10e9hNTuqNdoDi/HEtc1/4FgA9j+iA1sgM0nl4wO4kKOZLA/X0Whbifa13nYCELAHaX1+Cz7PoJzTEYDEZL0vsVcTR87w7iVJnlG3lhx6/3ZKKoSgudseFaBU1J7w4BmBgfgakyIbtCYkJ98MQUPv3qz0WjsOruIU6OYDAaDzNO6wE18MIfhvx8Ub5pj2NHEfPD6ia9nlrNh/ZpNJwRQinFzl39kJu7xtZnNvMeiI4d78akiRmIjLha9pwbk/OxYPVRmC1GaWKW42guQgjCFy2CV3dxXqhXTz5sVBkSIqp/KofQaE89UGDbHqGVGrJxmzZC3YELB+1xNBHvzR2DLr26gtRUO71GS1K7fz9KPpNXc9WlpUnacp9+GkXvvIvy71YBHw0AiiwPrP8J6kSWWI47JS3DIpSbGR09StQXoOVXMJPvTkZeWgWKt3DGyZ4uv6FHcA83PhGgM/FeKo2R/z7N6joL62ett+2r3Fn9PbgSuMCpSBtqlZJanqoygnDv0ZLDiJyxIvBE1xZ44OzvUai66AWsnuVyGv7R/Ofw9VShPeG8uypv5y8HxvwCGAoLgf63idqrt24FAIR8LP3exvd4g9vQ8R7IsI/FhrKyGEifOAkKwhmbNdP4z0aWFAIz3hOfNGO7bTPo1ltEXYaiAtF+WNhkfHJiHh7c9h76dQzE2zf2xZoHuPzY8T1cidm4TkWo9vFFUbDj1fJnH1mMdktewV/FFS7PNeY4J5z2zMOLnY7z0mmd9jMYDEZb4dt7h0jSuiYn8CKEb2xIwdBl2/DImuP2h7YKGr0JHnIl5gT89/hY7Hx6AgZ04lMw2gd5uSVEyWA0Bmac1gcl/weZcdU0VK5bZ9tX+PiAeLgQIHGBvfpn1zi+IoBGkw0AOHtuCUymGqSefRFKpVQ0xlHOa055Haq1Bjz44zFsOl2ATae5l1thLoHrl1gOYZih/2SpGIu6PZdv5j1oEDp9+43E02plpI57ef+xBy8i5RETg84/rEbU60uh8PVFgJcaYVGhMNt5qVuT7PvmovjDj9wO06nZytWZLXxnBVfH8mex0VN10Qvpc+7jFj/ipDmyFwQlZITh2oN9f4WnSRy2vO69Y9BWcx7aSu9imGQUZTMrM3Gi6ISo7ZPjvHBNl0BeAXbpqKUI9AzEA324XGJjPXOqL+4NxsXdoXy4s+V4s04HzXFuDl3W/wkAoHJhnnpuUcKkJ8jeyYWO5+4LAfJPct018g/JgEmj0HFUObrfkI/uXzwEX08lpis4o4i4eK6WfvUV0seNB7yDRO05D3HiSZ6p/M9g8KDfMWTwn+jQgTMeaZ04x7ij4TrEHJsCv80KhHzG/R7zXuTrBRtDKGp+SIDOVAYMuR94WiDpn8CXCIp65RXReTPvulm0X1KyFf89PhY/zB0GQghuGhyNEXGhyFo+A307ij8HTHbqujfyf5+GQs5b6TduHHxW8+WD3nnuNezpz62WB9RU47PlL2DrQvH3mKhU2FYqXxvPamh+uvxF7BkwDACg85DmPQvx2L3LaT+DwWC0BRZNiMOEHhGS9uenx0vaNp92HAXXUtTojMgorrW9BwoJ8OIXX7tFSoU1nUXbMRhNBTNO64HQK0b1fC6fKkJ6U2oIBkOFbTu64z2IjLwWnaK58NwzKVzuokZzwTbGZHKc/2bP6Ld2YIpA8nzlDi5086Nt3GeaNzYWn9/hngouERjpfmPHSPq7bt+GhNQUxPz4A3xHjIDSgaCLlbKb7ob/oofR8dOVAAB1VBSCbuRzKJW+vjDXuv9Zm4KKdX+iYu1a6HNybC/s9ujPCwwJpdji6fC+nRdMSJm4HEfuvhAYyvXQnjnDCf0AwJ3rgLvWA71vQI2CN4YMet7Y7Oq1F0FKvgJEXnqF6LwUZqw8sVJy+ev+vA53brxT1Pa/0/+zbYd6cx6yAA8+RCnOn1M7vq7a8SKB+aFkGDX8LcWgUUBXzi3YmOyEoar++QflP3DGj3Uxwx5KKRDaDQBw7g/5+ptydUoBIPROrgaqUk2h3PE8PI99g1tVOwAA5MG9Dj+DEENenmCHN5wJ5a8ZGDgAAQF9+HG14kiE9p4zEffU5whYr4K6wHKc4K5b+rgBVVUnkZFhCRf2DQV6zea2M3eLzhU4e7Ztm8qsg3WL9Mdod8oB6AV/S9HDgN432HZLVnLfl5pdu6ARREgcDQjBp3PuAgDM3P0f4i+ch5JS3FLMff9u/u9vlBxJxORQcVibldO9O2LHg7ciQaYUzVpahcxQBT5/8wVR+x0JUmVgBoPBaGv8dTJPtj3YR95hoTOa8NBPx5BdWifb39zU6RyLzlVpnQvSRQU6TsdgMJoKZpzWg4KXX5Ftd2qI1IPUsy/Ztrt3fwlKpSeCQ8S1QDu0v8X+MBuDB62Vbb9Yxt0AC6r4MLnTeVV4ef0pHMnijIZ2AfUL1UhITUH3xERZz6kzuvQTvzxnLZ+BT28fhI4PL4T/xImyxyj8/GGuq2tYaZYGkr94MfJfeBEZk6cgfdw42THnZ1zD75hMoEYjvPv3h1fPngiYPl32mNpC8cNKaFzR8mygwJIj2nEoEDsemP0VPO7hSonEBMRAW8t7vdREi1khL9r2173Li+JwOPdyGs3yD6Fqi7fyqcF8Tdtpm17FY2XleKHUsfrw2dFXIW19O5t9nb6ez2XJnGVRoLbk3Rav4OsBK3zly8bkPfMsMHcLMHyhqN0zkP8ZZG6WLgz5TZoEr1i70kEb+M8CpfSFodv7d6HLNPEihD4727Zd+qZY2Mp/vRI9E96RnMdYlC/aV3h5ScYI77omS6SsTi+49jRLrmuquOxOxBN8PVs545SbdC2QvhXQicPga3dtQ+2D4cDq2aJ8XeSfRPkvvyLnscc5leRfuVxhVVQUFpy+ADmmHOJrDs9/+Sn41tUio0MnjJ52C15I4xdL8sf3w4uxUVjbPw6+HTs6mDAQGtMZXr16Ib5EvIrf3kkdaAaDwWgr1Ork3038veQ1OHq8uAn/JOXjiV9PNOOsHKM1OFbfHdaFSyf79HZxJYqVtw3E1b2d56cyGE0FM06bAO9B9au76YjiYi65XqXivQ81NWdFY0QvsXZ4esp7cO/93xHZ9u8P8C+f4f7OQ+zkUPo5qEXpBJW6/l85aykNc13rrDK6C9XpQI1GKMMde6+yd4Qh5ef2KP+JKymSnygQpvn1PuDYd9y2VRFXocRvWZyRsnjYYuz9jffeq4gevsoKRHuckL2WTsV5+8q18galo/akYk74y1av1GSAsjQDcyur4eMglFmYj23SKWCy82gai6UCPlaIRcm34yfi0jBVf/8N+ITwxpoFR6JHVmq2bQPCujkeoK9Fu6Wv8fsqFVTTF8NrRaloWPY998KoVeDi7hAU/bRN1Oe/WYkQ7QDJqUvff0O0Tzy5v6uuO3fwjTI/wvLy/fyOjPEM8IrYJj8Ks93idWjIWC7UeVl74IcbgDd5Y9CQn4/s+Q8he0cYNEd2A6f5dAQ8eRYFr7yC6k3iWqpRr72K3n7yK+RRfuJQ8lofXyT2FAtabRjYDYQQPNQ5EqOCxaFhh7qJ71PxsZ1BlErEHzuKSRX890TZBGW5GAwGozmo1PDPvAAHRqhKqcBbN/SR7QOAxAvliHnu3yafmxCTmUpSkCa8txMA8Mw0qSbF2O5cele3CHHE24y+UfjMzeg6BqOxMOPUTYQlQoR0P3igSWqbmkx82ODIEXyuVWjIWNG4c+dedXgODw/5nNH0Itf5mtP7yIdNNjVGJyt2jlD6W4zT6pYRRZKo6rqJsbQU2lOnoE9Ldzm24LXXYdITVF3gX/RFNToV/J/m7+e4sizeKm8YtNwK7U0Pd4TPGC7McqT/d5Lzj57TDZXe3ELG83v5HMeCWt47Za2Bml8j9vbVGblFgB0XLQbVUtehomXff2/bTvuzHcz6+t9a/CZIPWWZc26SrRVrNgF4pQKhD9wPAAicaVdfVOEkCiCqP4LnzEHsxg0IvutOxJ88YevyjBfnCKX92Q41eTLeTwDnrxZ7x6nJhPJj8iVZ1O34FWefgy5+Nj4WIbTOUtEoYwhF4dsGVNwh/o4mJLwFfCG+V1hd2DW7+PBgbbkaOGcxRKOHSfJqrehKStHXX944DXAQhi1kYKDjhasOgdI8JisfVnPfxb5pKS6vwWAwGK3Fe1t4x8GXd0nLd1m5eUinlpiOLLkVGsQ9vwE/HsoWtVvzRjvJlNp7cFwcdj09XjbflMFoKZhx6ibmKnmhD4WP6zqatbXp2LY9DieT5jscs3sPL82tVPLn9PdPQFAQJyBSXiH1gHaJ4URaYjovhELh3KPkDKWi+bwUeo3Rpg6ceVJcs1UYpuoIa9infeme5iLv+eclbdXbOeVUudBiqxfuwt33ALDLVXSCrkq82mrU8AbV+crz+P7098ir4c9VpeO/g+G9ugMjuN+9GWJD7L53R6PfJL4kTbAnr7R3KP+QbZusmw/8fh+mrpUvvO3v4eDhdN9maZudMZj+d6RkiMnF4gJRSg1KbXIytKdOS9qzd0QAhKD0q68BAFHLlyNoDpdnqopysdBiMfw9u3RBu+efF123y9rfHR0FAAhbuNBhH9VK1WWVAXwUhGcPbpVaofRG1CLx36q/Xy/Rfm47T+RrpH/vFU9yXlVql8atUMhEPlhDxAWKjGofExBpWckf9Zjs5wCAXkExeDld/ntM7Bbq1Ab3a+kCEOWgnx8rLhEVcuON2PHgrfi+OLNe52QwGIyWRBh51t2FIbfnmYalKNTojNAaGp7OtDGZW+x78c9Tsv1EJvVHoSDoHFr/qDgGoylhxqmblP30k2y7Owq9J5PmAeAUNY1G+Rd0YTkYhUJstFiFj44du8VmqEaEc6ViAoMGY9LEDMTFPSl73vSi1i3BYjZTfPX4buxec1a2v7rUdbkIa4kRfVZWU07NIVV//S1py1m4CNVbt6Lit98kfQZLbqIxX+yBjPn1F6fXubA1HF49Ymz7Ri1nJP3p54uZf87EO4nv4Kq1V9n6g7yCxCfw5wzAcJVYZMbbj/tOKohCdNzMP2fixX18jurz4WGoOS0tXWNlRPsRvECTkE7DJU2V69dLx9mRbTHendHjaCK6/LlO1GbWSlV8NSUqaFN47xohBO1eexWhDy5A5/99yzU+miQ5DtHDnF5fzkAWUvLpp6J9YbiUWcY49YyLs213XPkJwhYtQo/jxxC77k/RuOqa0zAYylFZdRLbtschtbs/zsTzLzxlZftgMFRCHywWBgt9V4XQFSrU/LkFEmFmFefxLXjpZVtTXbEHV+oHANpLw5IBQK8SG86jgsSWcPjjj8GjM5/Ta1DXT6WcEIK3u3fEnwO6wseulIHCxwcJqSlo94J0gYjBYDDaCqG+7t/3omU8lEIcKf/3fmUzrv3YPQE/OV7/l39GWq8hvNbuc47TbRiM1sRt45QQ8g0hpIgQckrQtoQQkksIOWH5N13Qt5gQkk4IOUsIuUr+rJcOnl248hrtliyxtXX44H3bdl3dBVzMka9zKlTYvXDhi3pfu7qaX/WqqOA8X336fIJxY08gNEQa+idkskChFwDGdZeG/q6623FISmMxWtRlU/bno/gibyhfvcBxHoY9xPKynPvIo007uXqS89DDKFgiDqv2HTMGtYcPi9ritnCeRS9LiGjEU/ILBwCgz+bDbGsKOO/XS+Hy9SQTQhIAAJ5eCqTEJ9g8tI6iynfetBMAcKzwGGr0NThfeV4yZkRMtKTNSv/w/mJlVwAY9SjMWi0Klr4uCrfVpabCFdozZyRtVm+nFYWvr+3nZsVUUSF7vszrZ4v2CSGIePRR3nAK7szn7gKAdwgnsOSC+BTpPK0EdhHnPefPvxXYzQkjyXlOhXh07Ijwhx8CIUTyGQHg9JmnkZgo/kz790/Atu1xOH7iLuzeM1ByjDqXwPOcAgUvvYzzm+xyzo1So770jD+/3qDivm/KUO77pu7QAR0+eB/V23eKjlk7QFzH2LtPH8RtFueoCnm8s9RrDgCxGzag82ou/PuuDmEYHuRcxZvBYDDaKgM6BQEAogLl0z7s+euhUQ77DCbH5VnS3EjLcodv9mUBEJcPjAljHlJG26Q+ntP/AZgm0/4BpbS/5d8GACCE9ARwC4BelmM+JcRVdcG2jVXYxKtPb1ub/1Q+HPLYsVtx7twSmEziF1SzWRy2WlWVhG3b43Dg4FUwm3UAgMREvmxKx47iEh/OUKnqlxOQtXwGvrtvKDLfFOfKTUqQf5lsCgwWFTuzieL4Fj7voaKQe8lPPZAve5wIWv881ZYi8tln4N2rt6hNHc0ZfMTDAwmpKQi9/34ExcmXwjFr+O9LXaFjUaqIcgrj+YsAgA5n/gQApE+cBMznFh9uGL1PcoyvmnvwnC49jS+SXC+K/HLNLwCluHeLCbfvMCG4sE5snD6bBUx5DSUrP0X5jz8ibQSnJF303vvyJ3SCMjgY4U88gYhnn5XtD5gxw7Zt9fxFPPcsuu2r5yqysKanm7nhhBC0f2u5tF1pRtSQClFb7ZFjuPjqShS8thTpkzjlag9/I7ru2onYDRvqNdXS0h2SNo02W2akYE6CiFp9tUosRGXQwnT+hOQYk1YBswkoWP4ejOXlUHh6InDWLHTdthUBV1+NuWdzJcdkWsJv/QSezvAnnpCd0xQH5WQ8Y7vAZ8gQ2T4Gg8G4lNiawmk6fOUk31SIpN60gG/2ZdpSn6y4W0fdEQcyxAJ/Px3inCQaQTm6q3o137sfg9EY3DZOKaW7AZS5HMgxE8DPlFIdpTQTQDqAoQ2YX5vBrOG8EMLSEMIQQKuKLqViY9RoFOeqlpVzRkRdXTp27OyJ9PS3UVl13Nbv6dFENVNNZocqcEIBp61PyJdJaSqMghth2hG++DSx5LgWZFZh5YLt2LHasQCKUEymJYlPOomwRYucjjEUFiL4tltFbXICWZH9qxA5sAJdripC99mODXKjg/SSTz43IWMWV4+SWOI3PTp3BqL6Ab4RaBdYijmLB+OGZ3g1PQ+B6quwjqkjPBQeeDL8Flx9lGLmQYrz02cAem7VVt/pBpybeh2MZWUo/eor0XH2+0KUgYGy7XGbNiJs3gMOFZ/9xo+XtIXcfjuUwcGS9uDbbnN4fYx8SLDjfl61Vx+pZz92WjGI3R3TqFGiJtcb5YKw/4h+VVBHRsIztovb12sowpqrAHBubRRwu6WkVE0hDB9OkhxTW+SBqmxvlP/6B4rf/wBmnc62+AYAlTJfQm+lAn8P7IYDwxNsbWHzHkDEM8+Ixm0d3N2pGBKDwWBcymgNJhgE3seeUfKLcXIcel56PwaA5RtTsfqguHTXljOFsmPd5WROhWi/rJZbyUwt4CPY/L0arlPCYDQnTZFz+hAhJMkS9mt9c+wA4KJgTI6l7ZLFGrKn8PJCQmoKElLtjSlulctk8YZasTdO7bmQXf8wX3eotSuy/PaNYuGRZdf3wYjYUHS1kws3lmpgqhJ/hsagrZUq3975xgjE9ufCi/uM474WZ/Y5Ntg8u3Wz5fY2djXREUsPLLWJBQXfdhsUgYEgHh4oWblSdryfpfap7/Dh8OzaVXaMDV01FGqKkO518Lr2YSg9HH+GpJulgjxKS8hPRRBXHiU/ylL7VqWC9uw5oLYIuLAPEZ0D0C5W3hh0xby+8xAXFIeRr9t5+yz1MrO/OwtTcQnSRo8RdWuSk8XjVeJ86a57xGHlAND9yGGHRquVgGtmSAxEolbbys6I2+Vl/AEAk5cALxYDPmHA1W85vaYQhcBYazeoAjFTiuHhzxltncaXODqMm4+qft/RXj0/qNd4l/hYbsM1hTBZVJOFHl9tmQf01dzPrOK332AqLbU/g414X34xbkigL8I9xC8zIffeg38LufJGc9oFo7e/a4E4BoPBuBQ5ebEC8S9twtQP+Oeaoh5ikpEBjkOAX/lLLPxn7/msL1vtjNvyOs5x8pNFuVetJA0qIchgtASNNU4/AxAHoD+AfADv1fcEhJB5hJBEQkhisZNaiK1N/guckAzxkt5cqqt5Q9VsCeul1GwJ351cr+tERc2RtA0buhHBwSPqdR5hXgEA3DRYnFt427BOWDNPKmxT8E4i8pcdlrQ3lPRE6eqff7AXVB7cVy/jOP87d2Z4mi0quZV/uhbeqS9aoxa/nvsV92/hypKYdVreQy4jkOM3aRKiv/gcCakpEgEdD4EADgCg/IKo5iTGPOV0Ll43PyZpe/Fn7rPnt+N+X3U+XCiOPiMDmTNnwmwkQMk5p+d1xcMDHgYhBCb7si2WsF5DoSVowk6pNWvOTaL9+KSTtu1uB/ZDISMYpvR3HY5OCEH7t+WNSa/e4jDqsu++lx1nQ+UBPJMB9LnR+Tjh9b35MirUTOAdykdE+LbTI3qc4xcH5bA73L4OAERE1C8lP9TPRRiZ1WNenIq8A5yhaqhTIno8N2fvcD1Kz4h/B9WbZRSYAZytdZ5HSwjBoFvm4MCwBKyIb72SCQwGg9HcHM/mno+ZJfJpOo1l8+kCrNzBlaIzC8X2zPVflE+8IC3BRinFvnRucfWla3o2cJYMRvPTKOOUUlpIKTVRSs0AvgIfupsLQGgNdbS0yZ3jS0rpYErp4PBw+TqdbQlhaQgrhUX/2LYvZH+BuroLyM9fW+9zBwT0h6en9Gfg59cdAwf8gIR4Lg/OWj7GGboG1BNtDqLigiRtREGgVHFfvawk3gtlX2ZGdIzFOHVHeKe+ZFSK1W6pVmczTuP+/UcyPnrlJ5K2yOcXAxCrswIAPhR4rJUe2FdyEn26dAKI/MOGmKS/t8ja3igN6YnicE5dNT71B1G/SV//MkD9tLx3/LXvjci67Xboc3Ik48zVZbKCvXIkpKaAKBToumsnOq/5CSpLCG73QwdtY0Lm3uf+JB1cuMMH78OzWzfbvrpD0wdlCD2nnkHSckd+UTp4hehlf48mbf1eJBQKT4wbK6Ms7ACSxecX+0dLRY9gsiSiHvkaRh1/i1eMmAsAKDgqrVtrFZ0y2Oc9uTmnLj6eUDZBvWcGg8FoqyiVTRFsyJG1fAY+vlWsmD5/9VG8s/ks0otqRKVq7J0NDaXL4g0otYT3Do+VF15kMNoCjfpLI4QICwpeD8AqK/sXgFsIIZ6EkC4AugFoOndcK+A7kgulJGppjP6FC5/btnNzf8KBgxORkvqcaEz/ft+4vMbAAfJqv1bat5+DsWOOIzb2MZfnKqmpf2gubcDqnCsMevkkSqvnVMjGz5NRXebcU2Oqbfpap49sfwQAQMwUZo0GZq3W5iH3iIlBl3V8uZXor76UPUfhm9zCQfUWJ2qw4xdjwdYFAICbnhN8jwjBhfvFtUbfGfcO9t6yF0l3JiGpz4M42ZfPffXSir121OyeURCj54ysZcUl+C6f92jH5wKaY8eQMXmK5JjzC5ehrqh+pULUkZHwGcA/dJWBgeieyJWIiXjSsXKx5DwCo7OTtTwMAI/oaMT+/Zdtn3i7p5ZYH6y1dQHAd4x8npBCSQEq/dkrMh0r2QqZNDEDkyZyCyMqlft5mr1TqxFZpMXY/aVQesi8tETwK+J+7bm/p6DYOpCOXD6ySeP4RSe5us5hH4PBYFzJbEhyQ8DRBbufnoBjL3HP2kkJ8hojT/56QrTfGGeDVVXYHnUTGtoMRlNTn1IyawAcANCDEJJDCJkL4G1CSDIhJAnABACPAwCl9DSAXwGcAbAJwCJKJVX4LimUwcFQd5aGrVE3lWTVaqmQi5Dx405BqXSdr6VWu5d8/9UevmyI2ykRTbQ6J8Sq1vt/9s47PIqqC+PvbMlueu+BhISEnoTeexGkIwqKYhcUFREb4qdRURHFDqKCAipFQSwgCkjvNaGGmpCE9F63z/fH7O7M7MzsbkJCQri/5+Fh5t47M3c3u7Nz7jnnPbZYPKe2ZF8ShqKYuO9xA8wxv5oRs3rhDxMudu6Cyv/+g57jRVS3a4eWK1fCrVcvuPeWCK8W8/Ktm8ZMGcD33p7QRohrghV8+iJeDvgPxT5tUOYZBZ9KH1xd6AJNNoWlzwgVXG2FfWq8zSLaJuF7fV8cG3ZbIpfhTFoGxlZWw1npbH1BKbRlNy+aIPdgSsSI5YxKIVOp0PbsGcQdOwr3XsIQdAteo0bd9PzEaHPyBGIPHQTuXQnMOQ/M54Sotx4Gqp14yL5alV2n68lkwvwfpc6EoXsLMXRvIVpfq0L71ArITUDH1EooDTR8YhhjMmJAEdxDzQs7SjYkufIGsy1XGaHoOEDy2p7DmYelak7Y9rRQP/zVJVbqEAKBQLijOHTt5vJAAaClvxv8zDVSpQzElKwy3r7GYMQvxzPR54P/nNLdMHIcDb/OEH9m8feo3aIzgXArqY1a7/00TYfSNK2kaTqCpukVNE0/RNN0J5qm42maHkfTdA5n/Hs0TcfQNN2GpumtDTP9Wwet04nmz129+pFTx3t6dkJs6/mS/XK5q2RfXbirA6Nw+9UDnXHhXbEKQEJozuqcoagGJo1QzKi2SBmnYoq2ALBjpVC191zhOcx7mDGnskNvPoHfVFUFWi8M1eydSvPGcHHv1RORK38ApRAX3wl45hnr9i8Xf2E2UpmQ4C99vfGpny+67X2ad0zVyg/gP3MGimP8AYpCcuLzONH1ZUw4x4Rf7l4jHsKs1vJFs7N/Nqs929YkBTC/5+vW7TKR/Fm11vEPXd5JoXiRMizM4XH1AaVQSOaott75H9x69kTAzJkNcm2ZmxsTmqxUA97hzP8W7vsR+iw2U8E3lvHoR9+dD9m9y+t0vT69hQsRvY+xizWRWTUIzedHRLi+tgPt3u0Fz6c+RFUOMz9DSQkMNTLoKtm/t0wByH19JK9tKZ3jylk8WNy2JboT5V0CgUAAAET58x0I596unV6ALQoJz8G9XSN4+3+fycFrG08ju0zjVIhvtY59dlNIGMBeRKmX0IQhfn0nqdi+HdrLV3htOTmbcD1DPMyTi7//YFAUheDgsXbHleRWwVRPnkGV2TPZKsAdKoVzfjJjBVs0Mfej4yj8/qyd0c5RlMU8tPsE113F84G/H0CWOU3utwu/3PScLnbthtRO8Y4HAijTljm1Uql8ZAoMMiDpARkWH+frgm1zF3/tj178H4JeeAEymRx+VWyEvNrEeOgLM8VDmN1qJITDdMLxsgt/YXRlFX75wIBpO4ULBf3Oi782mUhuNQDIvL3hO/0hRG3kqwpHiOThNjTKsDBErlopEKVqUDoy5Xzg4gbdNTY6IbhzOeIm5UDlZQDajpY42D4qVTA6J67GgP7HmZDfvYVQ2inODgAISwTu/QHo9ijc+zAr5LRej8t/hODqZn4NO7HFNWufG/MZ1Zg9pxsSYyTHEggEwp3G9aIqDLOpCe+usqMU7wRSi/S/nuDrP1zJr4TFGbr9fB5+sik7Y8uSXVft9hMITR1inDoBbRB6EA2GCpy/YF95FQAS4pejYwemVIRMpjT/z/eS9uyxBxsXncCapCPY8OGJepgxoDM/1KokwmfFqE7mGz26jIqbzkO9eCQXADDtbemwzE6DIyT7rHMx/wa43IQz11BSgvxPP7Pu00b7keY5lTnot64ffjxvPxe4XFeO/puG4oFXFTgfKUOHgA6Ahg3LyRTJU+Yio2TokNfP8QsA4FZtp/bZKpHFj5pijCtlPKrjjzB/S9oEaIcsx1MpfsiViDYPfVlY3zVm+za0OXIYIa+/bhU7AgBQFDyHiudlNjsmfw8kMX9b7/Hjrc2UDGyJIJe6L8T4+fUVpgDc50CN2IzX3XczGyL3K0RKf76UEez3T2P+vrvWIvyaQCAQmjMHrxRi4Ee7sXx/Wr2fO33haLw9roPdMT+by78AwLNrTuGN3+07DpbtIcYp4faGPIHYIffdBcj76COrkiWXoqI9grZePYXlGAICBkOhYMISFQpvtGzxOLp1Zb1/Awck4+RfVci9xjzwFmQwdSVvtp7n3kuMoelSC6+SKkroLSv57fJNzcMZ+t8bi7ie7IrktVNCzyAto6CXAyo9jRuVosLPDsmY/jCKvmHrylpq1zI7wvc7rZz5IfrouP3Q7VEb+TmPx3KPAUYmbLhM5CH/w/78EimZFZmILkq0ew0LLTJ3AgBC3n6b164tUwBFV4QHeLdE3Dn+ZyBjtz+uPfUmhv2djzfXinvq3ZOfF7RxjRguIW8nOTHz5ocuI8PxoPqgzd3A0DfZ/ZBOQM+ngZn7ecMs5W9MNSIKvg9tEjSFffwxACBq3Vprm8VzqiZiGQQCgQAAeGD5kQY9f32WptFzou++ntal3s5LINxKyBOIHUp+/hnFK77H5X79AQDekybhytWP8N/OGJw9N1sw3t29td3zURSF2NjX4enJqmkqFJ44s4dvbBn0Rix9eheO/HnN9hROs8EcFuJSC89p4cpzgrZqkTqlzmKpzaVQMcbR6FnxmPKGUBSIklEY9gj7nmz95gwAYM/ai9j/62X0DO0JgClrMeEwjfeTRtTJeNde5hva5du3W8WWRpzkn+/DyTLM2D7DqfOW68oFbecLmZXNFJUwlLKVdyvrdpW+CkuTl8LV4CF5/vgzX1u3w3L2I2DWLPhOuQ/tUtn83JIrHG/dud+BTzsC+hrAoEEBJ2eU9otDdb7jvF25Uvj+2oYgBc59Eb4PPADf++4TjL0TqDl16tZcSK4E0vax+7lngFELGSOVg8xsnFYdPsxrj1yzhqn1Cia3VObmhrZnz8B7zGi0S70ARQBbWkZr/s6qalFYnkAgEAh1J6uk/lTSqzkVElxdmGevAXFsicLYIA+8SWqcEpo4Nxcw30y4dOldlJYdR4/uf1jbDEVCVbaqQ4eQMcx+rL8FmcwVXTpLh+P16vmvpDqvroa5uRz/Ox09x0U7dT0u1wrY3EPayUqFhmKN80UNnST7cilzbrMoUlQnfn3FDv3DcG4fo2zKNXxcPZX4b9V5pB5iQoJloaFAFOBivuc+u9mEXI+3EZqUhJnbZ+J80Xnsnbq31vPLeW0ednVgXvSAs3wPYq7vzT2cT9n9HNCqJYZXCX90vFSsh/qZHc8I+m3xLzqH1sEV6PXsCHgH8gWjAmc/j4LPv0DJZQ+4BujgDQBbXwUqc4HKfMDAL82TurRupXi4pVssBDz5ZJ3O1ax5vW5KvaL8rwgwmgWQrompNvOhzaWC8t5dYG1zD9XArQtb1sd7/HheOLItx8uYFXwlqVlKIBAIt4TSaqFAoyOmfHMIT/aPxoC4QJ4TYv9ltl58+1DmWSMuyMMaTbdgQkf0JDVOCU0c4jkFkJm1EhUV/Bj+6uPC3M+gV18WPb5V1HMYPIhvNAwedBbe3tIhFe7uraFWM4qnCiX/z5B6+OZqaZ3KKLVuWyTLHaG7UXFT1xRj98/iarMWBk1ri1nLhgjaayr0VsMUABJyBgsM59J16wEAB7IPoERbgrSyuuWCvHmQCZeMKOS3V9mUztSbav/jAQDb3dxA0RSmtplqbXPn1LQ8mX8S98bdyx4gUpqIAo0Rb42Fd6BQ0dklKsq6XZ2vYrylleb3rroQhrQzTs0zvC+rABzYifEEy9XMakDoXT5QxZKSIra0WMGo8oa+9SoQ2ReY8hPgUo/qtnIFe74H2Vq7iBMvnSNzE34+LAq+zlJpzsP2dlJEjUAgEJozO1OF0WNbnu+H76Z3q7drnMsWRl854khaMZ5YfRxxb2yFgRPKO2vNSeu2lyujd3Ff9xYAgH6tA4hhSrgtIJ5TCTQXzgvaKG93QCSdq2XLxyGTSRuBep0RShfph73Y7sG4cJA1SA/9dnPJ7PuvsJaWs0q9VUdyHQ+qJWUFIm+WHRKGtEDKzkzRvnb5vQGwoY0yD34Y7LjfxwEAzjwsboyJhQFv60xZOuGm4/dV20S+Jucno3tIdzuzF6df2mR0zOsPv1556B/eH/tu7IO7jQHzb/q/GOwdii6BXZBzpUz0PFL1QUs3bLRuuwdrgZR11v3yPUdw4x3n1I29WmjgNZXv9TNqmM9O5fkc+Dh1ljsLj759OaHVjzTsxVoPBd4sAewIFVF21Hid5ZdcpnQNMU4JBAIBeGzlcd7+80Nj0SHMGx3ChCXW6so74zvg5Q2nMaxdMCJ8XbHyYHqtjn9l42l8cl+i4DlHrWTu43HBnkhfWDcVeQKhMSCeUw55+Ww5Vs1ZYf6lPNRP9DiL4BEAdOm8BvGdlln3zx/IxrfP78GSmTuxZCYjZlNVqsXB365YczLLCmqg9qhbzSlNpV5QfsYSkff51ESnz6MMMocYKyj4P9SuTnPhQtO01ds5YGqcU8f0migdwtyvaBxvXyZR+9JoElfg1aWxntWQpCQAQHQOM8EYjqN6dycKh9tQVnVgC4/9+xgqdBUCD2q1ng3bvSf2Hnx/1/e8/o55TL5y8WfBmB/7Dn4f/zuUMv7fuqqmBqFlMQLDdMC+ueh78HXYw7Ur652nTRSw+QXr/o13vrR7rIWY7duAVgME7d6tmBBP/3Z1CwUm1DMOFHRVre3nvDviQiW7mCRV4oBAIBDuZMYlhDoeVEvu7dYC6QtHY/nD3fDWWDYf9OBrQ5yqpfrbSUa3hKvq+8bom3+OIxAaC2Kccjh79lnQtBHJKY+BmtDG2l46xYCcT3Qw+TNvl38R62br14+v4ubr2xOBgcOt+xcPMx7JIAWFEAWFKyfysfK1Azi1LQPbV5zD6V1ZyL5cCk2lHpNe4ocBB7SQFsnRVOlx+XgeVry0D398dwb55Wxu4Y0S5iGzdy3CNxQhjHEa8nJ3uHYIQPDcrta+ykO1z6PTa1kjsdMgx6ViAEChtOOtCeZ7YWnahE6rOgmGLTy6UPTwim3brdu+U6cAAFqbncUKjm2/dIwcn0ySsxY+hz5r++DVva/y2nqu6WndTuqThG7B3fBQ+4fgrvXGzEOf88bmXaxCjA9TP3JcDGtsqw1s7vHA+1lDXmHUQKUrQ9R61htqi//jj1u3TQb+nFXe0qHI/k89Zd12adECePgvwZjQ7mWIGlEAV7+6hTQTbi1cYSMLQa++KjJSnMHHLtbndAgEAuG2hqt8+8Mj3fHG6HaICZR+LqsPKIrCj4/3wLIHuyDMxxXuKgUuLhiJSwvE0zm4cEvMPNInqgFnSSA0LHe8cWo08gVjdPoSFBXtwSU3RiE1JCkJ1QNNoNXA0WNMHcngAi3Cw6eha9dfoHIRPhBysYgC9fZQoKeHAv9+x948rpzIx771l6z7oa19eMcWZkp7rFbM3YdtyxnvbnZyEXq8/x/+SL6BtUczcCSNyR90tRNKbAutY27CMnP+qzKQNZhK/6h9mLFeY7+GqBSPL+7P25/yJhNKK7/kD69xbB3PGr24ut26i0JDjqZpFHz2GQDArZew3qpWJLjdUynumd1+nTVyNZV6+FcxecNuCub9oigKc7rMwUMn3xEcy31PXurG1sgdeI3NR+0wIBzxp5ei15Eka5s6Pl50LgAgU7HxxyYDBdoIVNxg2rRl0t74wBdmI3LNzwj/ZLHkGOq+H4hhepvjN+2Bxp4CgUAg3JZcL2JLvPSPDcAT/aNvSVRJ/9hAjOzIemhVCnmtKi8AgJworhNuY+5447Smhq++a9CzienFT+pR41lsewhkJhpt27wDH++ugj4umirnH+z95BSMFTp4ywF1He8ps9clY95vZ9AnhvGYeqodhwprrpSg+JeLoPWM4UTVwqC1R35G3QSW1O7snL0DXeHizb4Z4YsWQaPyhdbFGy5FFfCsdk5eOG0cq06q7JoIg8lg3Q8spfFawouCY/qG95U83/rU9SjVlGL1gr249zTjmfqg/wdMZ5I3qHfCRI87/ne6ddtX7WvdblnKhvFQFIWA4nNwq2GU9Vr9ttHhj2H4F4yH1mSgkHPcB1n7/FFTxP/bewwbytunZDK4dekCr7vvZhufPQ5M56jythkFuHgAfYQ1TwlNk5YrV1q3ozf/5XQeqvEm6yoTCARCc+Pjf1nngaIJ1X7u0tJH0LZ4Gz/yhaRmEG5nms637RZSsXMXLrRtB9316ygq2s3ry81lVTE1nWlccP1YcHxukAoodxzq+uP8g07Np51ahv6eCuS8dwSDPJW4y5s1LGhT7R8a/dyUaO0nXqaGS9XJPBQuP4vqk/mgtUaAAiBnb2gBj3awbme9tk/kDNJUFmscD3JAWUEN9DKtdd+gN+Jg7wU40Od9AMDk/UJlWwAo1rALCiaNhlffdEb1d+j8I1ta44OVRoSvZLyh6vaskfhP+j8AgNY+wjy+BUcWoP/6/tCXWgSVAFeFK0DTqDL64pu89U69vkc7Psrb7zggHAAQ9NqroFQqtEu9wJuTFF4jRoBSKkEbKJSlMX/3wnN8zy9FOfFVD4gFogey+0pX4PUbwIh3HR9LaBK49+qJ2AP70erPP2qVg7o2h/3O/NPVuRxxAoFAaM5cyK29iu6tQMzx8OXOK40wEwKhYbgjjdPyLVtQPsaAfVeHwGBgPHyu1cFQKLxRWiYsISOAAlB42e6QtJQC6JwMbY1TS3sr9Toj8tLLUVELY6/qaBEmXqMFQklcTDUGlPzCrgpW7M4CaP5qm7qNuACUM7j7qBwPckBgS0/UGGpQrWR+IC4cYJWLaFAYdULccP/9yu/sOIOB15cewry+01HM/9qBXVGTnAwAcOvOqvF2D+mO09NPY9P4TQ7nKacV6OUdh1/eO4KVBd87HG9hTpc5vP0uIyMBAP6PPIK2KclOnwcAKDc3mIzs17kymy0h0urrt+BzH1uuJvBFoaeYxxM7gYc31+r6hKaDwt8f6rjaGZhuHK9AopfjhS0CgUC43aFpGimZpaJq/gCg0dctPamh6R7l63gQgXAbc0cap5DJUHk3Y7ilX2dyS03X82EyaeDlJZ3fZyH2ahVQwNbw1Bl1MNnUp/z7a/GSJl4277ivXDz0YlRLd0S6UNBrjdiw8DhWv856YY0G/rV0NkVAu5mTKC8eEdbnsmAoql2Zl9py/WwRAOeVesWYMLczVp1bhVPhOwAAFznlbk4lPAcA2DppK97r9x7vuE9PfIrN1xjjqvroUdFzLxnD/CFaZLDvg99jrCcz2tv53JKAqghQH0WjIEuYB+vuzQ+r1OvYHzvb83v61a4mJReZm5tAEMmC2scIj/790S71AtqlXkDAU0/aP1lEV6BVf/tjCM0KEtZLIBDuJCo0evyZko3xSw7g9+QbomMoNM3Q2OHtQ6zbEzuHN+JMCISG4Y40TjVnzwobjYDJpEVGxnKHx7tpTMCJVQAYw7TrT12RsDpBYKBa6DE6yrqd4MZ4Sdv2DsGwR9tDwjaFS7kOiW58ASUL3JqoKS4GKAFr2RYPzhR2rr6AGxdLYDSaeAYtbTCh8jCnfoqTGCt1jgeZOb+fCXuO7Fj3gs8DNvTDuovrYKIYg86D441VGLXQKIEIzwiMixmH9WOYUFqVjsbYwya8vuc15C5ahKxnZomeW2uOitGcZ+vZctVOPV3YsNjXe9ov5zLx7BzJvnte5Rfq/vb5PbxV2hYeLeye21kMOTnWkF4B4fZzowmE5y5kOB5EIBAIzYROSdswe10yAOBoWjGW7bmKGh3fUzomnhElendCx1s9PVHWPNkTi+9NQJsQT1x5bxTSF45GkOfNR6kRCE2NO9I41aWlQaZ35bVpO9r3HAxusQQxaVXofcycmxXClDHhlhbJrmQMsuN/p/GODT7BejD9zIprWaklaNMzBEOn269Fxa19aQnTzblaam0rk9GgQMESGDyqmu+pO7PnBn564xCWPbvb2nbjjQOoPi7tVeUS+BRbrsXkZJgyV/hHUQeBpdAYprh1lYFRyit0zwIA5KWz+R+FAfFQc/Sm2vu3xzt93sHUvSY8tMuEXhdplHz/g+Q1qs2qU153s/LsVNElDGoxCAAQ4cGWv7m/7f2C42Um/uu6oesgGAMASpHXf3YPu0rbz5/J8XT1FZEMrgcCersDQW0b5NyE25/rNVqE7Eq27q+Nl641TCAQCM0Bbuk9AFh7NBMLt6Zi+b5rvPbl+5lnufGJ4iKHt5o+MQG4pyvzbGIRaPpm7zXBuC/v7yxoIxBuJ+5I4xQAPPL5NUWpKn6/1698o0JWUYCozBq41Zg9kKfXARe3YkfGDuuYE3knoNMYcORPvnEq07B5jyUGEzxkgJsXY0RqfrOfu8rl61m7AQCtuwYDACa+3AXB5jzDICNjbEUZ+PO+ejIflSWMqNCSmTuhrdCiNqiifeA72Rya60ToX02FDkf+ZG+WltdZG8Y8l4CJ8xOs+zo5M2fL6+BS/vffzJiMDLSSBaL7JWaOc37ne7G/HSnD1vdHC0rElP+9ld3Z8Bg+7P8hZsTP4NUhFcNTy8/H/b14gWBMv3tjoVAJv2Ju3i6gTTQ0VXpM9pwOAKgpMQjG1QeBSV82yHkJzYPjZfwbX0+fhq3hRyAQCI1Jtc6AHu//J9p3NF1YnQEA3OzVYG9kBrUJ5O2nvDUCYxOahjFNINSVO844rbl8HoiMQ3n4AV6730Z+vVKPXXIAnBuSWMju2qm83X/S/8F3L+wVDPMc2tK67auQYaiXEr6h7rWfvBmDlvFgjl12EG30zByH1Ligp8xxeMeuNw7x9q9yvKFKiTnJXJlrWGqh2uPgbzevGOeiVuDZU2xepF4uLgZV4t0aJxauBQBcHXEX3J95F0FlokOxo7MMI1NX4uDUfVDJJd6n/PNwU7rh2c7PQinnq+EpjC5QGFlDO8Y3xu5rGOv7NuKHREChlDPG9kvsYojRYMLxrelYMXcftn93AQDgFVD3fFO7RPZumPMSmgVnKvm5525NqFwCgUAg1DdX86sk+/ZdLuTtT0gMQ6S/W5MqI2PLmHi+Iert6riEIIHQ1Gm637gGoGTtWhw+Mw7ZrwrzOFXxwtDN0MCJAIBA03hg1/ui5wz3YJPR99/YLzqG1grDYdv1DBEZCaji+CpsYimplvqpek5noJHCgGLHf07b9b8cPesNDZ7dBWJYap/SOsdhvdXlztd2lcJEm3C5hPUoa+VCoSEAONV5Ds63fxT6lxkvpuF6BnJ9pM8bp9MDN05CaxR6YMP7mFdMJbzDTxz9CE8c/ci6/3yn2ZLXmXXfIbR89lOr4FFkB3+e2NHOVam4fIwfVm003JwgTes9e27qeMKdybLMgsaeAoFAINwyjkl4R8XQGU1QNmHDFAB2pjqXokUg3E407W9dPZP30RKYfPhGQNCFB+FeEA+TgjWAfL9l8v9C/CYBADwO9AEqzUqxY7/gHR/izhqZtnmIAHDVLxmV+4VKcPSqczBp2VDOfijHcJQj8LGOSAvNt7b7iCgm7V3HlIDRg8Yv7oyh5a6WzlmkACS4ytDJVYZ2rvw50mCUOg2BrqLHArUzTjPOFVm366rUW6Gr4O3r5fZDkb+t2IBinzYAgJBSYf9b0+TYlJUDBQC4iIsGyVzMn4vMI3av9UbPNwAALpV2wh+HzAfC+YY+N/fUaDChJJdvcI+a0Qk3gzI4yLod8NyzAACvcWNv6pyE5k+sGxtF8EuC/WgAAoFAuN25UlDp9FidwQSXJm6cTuzM6mOc+t/wRpwJgVB/NO1vXT1i0ungNuA1Qbtv5jBEnHoRriWsaIw6hTEIDX+o0GbbSrjUBMNEM56val1vGEysIXAij62L6l/Nl/Q+2mILtsdJi/IUr2HK0fwAxviyBNg945NkHdPLnTFqDBB61owUkKVgQm1ta6o+tKA3wuN8AABt1DJEqeSIVgmN52Ijjc1lBqSFSBtbFuPUZDZOq8q0uHIinzemNL8aS2bu5LV1GhSBulBjsClz44Sae3Li84I2EyVDlp8SF1pSaK03e3S1rOG7uz/nPbO8vSp+TqotcRm9cebhM0j5S1zteILfG6LtSlf7OStBUfavWxv8pk2Dqm1bBMx8ut7OSWieDPH3sm4P8Ku/zyCBQCA0NQoqtE6r21ZpDdhxIR/nc8odD25EhrVjn0d93Wuv8UEgNEXuHOO0ogK0rdHDwaUmEOEnX0Dk2pmgaAptL5yHLoM1ZKqNg0HTFIr/yEOu7ntru5/RaPWe3nNmLu+cJyO22TWsNBdLAAChnEGWMiPr/P9h5iVj+g6rGS+r0cjmfeooYNbQ1gAAV082zyCmcyC8Alxx41IpIl0otFE7TuY/vy9bsk9mNmqLf05F1mv7sPLVA/j3u7MoL2Tfz5/fPMw7pvfEunthBMYpgM4jWoqM5GNrvicnPI9L8Z9hU+tH2MarrAHdXsOWxlGMTWI2TEJhIhPnPbfk1HYcyCxEPJDUE3082QWI8AX7ROcmd7D66mxNVXuoO3SAqn07yH18EP37JqiiW930OQnNG435s93ajZQjIBAIzZtRn+/FZzuYlKEwb/s6D03dKLVAURTu79ECH0y6uegrAqEpcUcYpyajCXtSeuDKJL7nNPzkC7x9j8JEqP17QRk1gGeYAsAxl9bQmoTy3H5GIzr6d0SQK7t6NcxTgcqwY4Kx90M8nGQkXEC5MLlfi3ecAwDs8Tpu7f+m9QaE0owo0NZlZ3jH7r9SCN8QN54q7ogn2LImrUS8pWK06SWeAwsAlM05LB+aPz5PljwmYWjd63duS98GAPh44McYETkCT3Z6En0mMUZ4pOo4WnqJKxzvGrSEt1/qEwsAaLWNky+850PrZnsDa5yqY8zGb+ZRwXm1NXyDVa8z4sAGxkh1P/wOOrv/iQ6u/yIo0hOQSb/fPcc3bJmOVhs3IPq33xr0GoTmxakKJrx8f0/7Ja0IBALhdqeQU6v9yQHiv8cWB4Fa0XQVem35YFI87u/heAGfQLhdaPbGqdGoQe6OHaJ9HoWJou3qxAdR8HUKr83VkIhC/TuCsVdcXHD+wnn0P98fxQHHoFDUwF1OYVp1H+uYIkUp9kKPTJgwC4xS3HU3Cq/Hq6GngNOqLHjELIbc/RJWZTPCTCaK9dbRgfsQYS4Rc/1MEbjIZRRKcqtRdIM5r8pNAZnZSxedGAhvkZxVALikMeJApQGzlg0BAJTkSCvYyWyMUzfzp6a8gPVw+gTzczllEte15WD2Qay5sIbX9lXyVwCAYk0xFg9ajOe7MCG7sz6IwRjf99DX5QvBeWxp/QJroJ+qGs/rO5OWgTNpGfBvXQX/dhVoMzkHMJgVgf9+SXCu71/iC119+zwrPqQ49S0AYJD3Mtw7r7vdOXUbFeVw3gRCfWGiaXyTmY9Kg3Su+OkK6WgSAoFAaK7EBYunMWw+zaTsPPyDcKGaQCDcGpq9cbp7TwdcUIrn3rm82AYRC/sj4LGO8HSQH5nidpG3f1zlimIZ8/b1zmfKdRgVNcgJEHpM/Q0+MMoZ4y9ZZsR1HwXe7uiKbaFK9B7hiSXhTJiwOmw9AMCgDMd1FRPyu8ObEejZHreKd87NbswK4Mf3JvDaLR5GABjxZAdIcUFjQiFHITb/eoXkWErB/5gEcParyrQwGU0ozeML/Dgbpjpj+wx8cPQD6/6SZNb76XbkW756bhbz3iop8dIyFoI7l0GZu926L4N4CRyZHAhKqIBMQQOtBjCN4d14Y5J3ZNi9loxyXF6HS9/JrQVtbe14rQmEurKtsBxvXcnG42fTRftTq4hhSiAQ7gwMRv5vdWyQuM7G9SLmWa24innG+nxqYoPOi0AgCGn2xqkURUXh+P333wEA+pYe8B5pPz9vdOkA3v7n3v1wQSWefH5NxpH2NttW8SbGs6gdHo57erritC/rjbzhyxi3Jk04dOqOKAldiFL/eSiXV2JYWU/8kfo5sr0u8a4RYDSXKfHn1yYNbMmuBspktctjLMmV9p5yKTeyBmNFsQa7f+Yb7k9+NsD2EIccuMHUnV2WsszaNibtJOvRBICNjwMAFJQO9lD56EHT7Gs/WTUJ2To7YYszDwDugQAlA6IH8ee1wcm6rXPOOzUsvI2voM3Nm4gYEOqfYj0Tjq4Tq9EMoNpQu4UVAoFAuF1ZvJ3/DKWSCNtNK+QvtP9zNrfB5kQgEMS5Y43T8+eYcNYFm8+jU9I2LN520cERfD7ImA2t2cvW2cA3bHe6nEWGshJqgxqttIxwjj8tbYAUu/cEACg8LqEs6FUAgME9Bl5GZmXPhVbCy8Q3Qi8q2VA9lRtbRkbhwv5JjUWsYecxkPUM5+jEH0rXLxB6fcWQU4Dlihs/PIELB/nKtS52ytpwOZzDiijN3DETJpuHaDkAGLTAmQ2ArprTzhqnLTO2Y9Ce2fADU66HBgVdhQIVxkDrGC3tgU3F7yNT20lYxnR+LhDSEaAoQOkOHPwCSPIGakqdeg1WvMMdjwHg6cuKMHQdGQkAiOkSJDWcQKgzL17MBAAcKhVfdHJcGIpAIBBuf2p0Rny9+yqvzctVgeeGCCOZNp7MwonrbC3UDyfHN/j8CAQCn2ZtnJbu3ybaHhr6HgAgvagKy/enAQC+3HkF+z1PCsb6KL6SPP+uAnFF2mUDJ2DSkFB0qnoUKOsKALgok66tpXNlDBthsRiWzlVtsbLb69b9fAU7+q4nO1q3FZx6mrkfs6JKHj3Y0NHz5rIzXIVfgKm/6QytXGQY7aOEh82nJyTay5rD6gxPbnuSt3+9/Lpw0NWdjMf0/VBrE9dzGu13AnFjs1AM5j0s82oFr5Y1oEU+2n+WvIOjlffzG+UclVJdBWA0n/vHCSjOds6TXBvUHkr0nhSDlh380GtCDGYtG4KgSC/HBxIITrL6RiGePS/yXbJh1Y1CAMCy9pENPSUCgUBoNHZfzBe0URSFuSPa4OW72gj67vn6kHXbS60U9BMIhIal2RqnmkuXkPkyv/bl4UP3Yt/eB2HQtwcAlNboAUpv7X8vYrngPDL5cUGbhRl59wIATinSRPsPRXdEpJIJ2V2hvio6hotBKf2Q2KWqPTTKKhg4+ZP7Xx0MAFByBIuUEuq8Cn9X67bebNfGdGY8dkOmMyGvXgF8afXqch0WHVuETqs6ITipJ5TDGDW4ULN31tNG9CiyU4D0i3OCSh1rwC/OY9SLUShU5uXmefqMHQvlk78iKp65ttykg9yFhp4WL41xvOo+duetUkDG8TTTPijTPwyalgHZp5CZch1y1P+XpMuISIx9LrGez0ogMLxyKQsb8kp4bb/mFgvGWcaQ4F4CgdCcefpnoePBAlG5JRCaHs3WOE0bNx60K98XqderAFD47bffcDasFbJa+MKz7f/snqdntJtknw4GUJzcxiG6jrz+hMwreDXPGwAQHabAF/cLS9FYKPd/GqWhC3ht3NkPK2NCf7/tPh8f+TBCJhG+zNwoTm6p0kVonIa8yleRve+tnojs6I9+9zGlVtr2ZryqoTE+1jE3LpXgh1f24/LfZXDTeaESVSjz1vPOk+jKv1ZhprR32Bn+uPqHdXtEtVmsRWf/nLKuDwGxw9BxAOM5PdZtHpbkbsKhioccX9BGtKlE/zwqjPdCa2KEpKid72KMjxJjfZiV05jOgYJTEJou8y9lIWRXMvQmezEJzQtaELfO8NyFDORo2YgDSz4qAHT3dhc7hEAg3EHQNI1z2WWNPY0GZ2BcIMYmhFn35Xa0Oe7rZl8ok0AgNAzN1jgFgKpo23AM9ia0PzYBR1t3R8sKy6qZAVIsD2JrRx4xjzPAiNXqPZiUPsnaF2Hyx+441gA9HREDk9nErNAcQ7vWfpLX0Lr3EbR9F8PmqW71YcqZGKuZUOIAD7YvOIoNC9VdLUHWa/tgqtbDNT4AigBXKHz5HlHPYDeMeTYBcrPqrkVZ9+IRNvE/LYUJ+UvMGYp7Tr+EGkMNvkj5knceF5ub+oAh4dDdqLuBuv7iemHjQftlYwJaMAJQOptapBm6rpLHFOrFPdQmmnlIp8F4XfdVsGHHDyT1xMAH2qB11yA8+ekADPT6GuN832I6x3xmd46ExmGFOWxVZ7pzfIOXqrWSfZ0PnkeauT9Pyy40tVATQS4C4U7np8PXMfqL/dh2rnkLAH3/SHd8yXEUKMzPMdGBwkW66EBxRV8CgdCwNGvjtPI+6Qc1C74GJsSXUjCCO1NjX8HPQe/zxmz23WvdXuTF5GtW2pQzkdEU5FAgNZQ1fIo9vHHNjTFOz6uuYlmmMO/BHt+2ZkNTE6riIKMpGKuZ8696rAdvrIoCfOUUilYyqrGVB7NB60ygOGG+gTPj4T0qym6Zl5LcKlSVaZHyX6a1zV3vDY1Bg4s16YLxFukjF7UcxcvPonDVOadfX7/wfqLtKnvGROKDvF1LGLN3kKvYaHQZ3gJdRvKN0QMVjwrGGfUm6Oi2AIAifRIA9rUBgG+IO1w9XXDXkx3h4qpAR7dtaKE6zQgqdROej9B00Ep4E5sjBpvXGq7iL9DNNYsk/WA23AkEAgEA/vcH89v9xu9nG3km9ceu1HysP8YvB2frKXVXKfDZlESse6qX4PiFW1MbdH4EAkGcZm2c6gziBguX463HQQE93KKY+pplikr85JeFHd6HMTvqQwCAltIhGwaoR0Uhr1yLGkonEC9KMEZiSZzQA5HqytQPzXUpwtEyocDOojjnwkbC9EHYkroEqkBG5KlDmDevf6S3EgM8WXOqfEcGaJ0RFEe9VxXlDc+BLexeZ03SEayad1DQnlaYDoVJKAwQomRu9JMeYgw7Uzm/zItJK60J2sq7FdRyNeZ2nctrX59tZ+U2mAm5TXD7E9GJbJgtV7GYS8+JrdF7Al+4KkuXIBi37LndMOsDAwDytJ9gtA/7eqXCJaF0/BkjCDlYUomQXcmoMTa8V7P9fumHrZNb/0R++jXJ/nOVNSjVS0dVNDW0Nu/n2CAf3v7B0kqYaBqrs4tu4awIBMLtQn6FFrtSa7eQ3lR5dOUxvLrxDMaZw3j3vDxIdNyEzuEI8lQL2ltL1EIlEAgNS7M2TnNy4gAAKcl34cTxsdb2awFsvoHKoMNr3f+FTMnJtaCAxWGrccn1unX/Plkh/PozhuQDtBZ6mzDgC/IbWN1KKMJzDkxtrUERg/BQmD8AwGUva3zRJo3gmNeDpIWFDJXt2e1iDWrOFqLsqvgPifZaGXRp5ZLnKtQZsCG3GBk1fA8zLZKjd+yLElHj1PIorNvBqoOadEZkvbYPWfP2IfutgzCUCl8jAGgMGrgr3TGt/TRee7jBKB4q22W61Rjsl5iGUTM7WbvcvMQFkCy1Xkc80cHa1q6HD/CytEECAHo6jt9gvHO8b7eCSclM/dhhx9gSTj9mF+JASUWDXG9boTCXijaZsGvlt/jx1edFjgAuVNZg6LGLaGvHuG1qbC/if993FQvfz3mXsqzbC2KdK4FEIBDuHE5nNa/cU3eVHAEeKkFdeFuOvD4Uu18aZN1fOq1LA8+MQCCI0SyN0+r0NPwzZBKMimAAQFhxAqqrfaz9BR6s19G7pgrflEor8loxqa2GTgFo6Cm+R7C/vh1vX2lgjNdcLz+YQGPXjQP4O+sUAEAhS4VH1nL45L6Dt0+sEFzq0Rhm3qr0CiTbGME7sp/CPy4+qDqWi9xFx1D00wVUfCddo7VSAaRVa1Ghq0CnVZ2w+dpmdFrVCcdzj6PjgbN49kIGehy+YLeMDQB46nyhMgjFoXpOiUOPsa1gLGEN3JoUs9Ku+aRVx/JEz1mqLYWL3AVKGWv0jq6sgpqmgUhhDi58WgJdHgb6vgDcv47XJaVSbCG2WzAe/qAvACA4Nhhw97f2cXNtpTBppL1n2vQyFK+/KO1dJfDQcLx7VZztly9m4Z7kq2ixOwWvXMwUO7TOTD8jVNS+fFQYIcBl8LHa1T5ubPQmGp9e53/XLlbxF4b8lHKs4nhN7w+VzoMnEAh3Jp/uuNTYU6hX1h7NhErh+HE32EuNqADWgI0lnlMCoVFolsbpV1vewof33ouPwqfCaJSjt6Etr5/m5FxeCmmJdqXt4KWTrjVZeXkeLG9Vm2BGgGeryyneGA+aDQl5+MDfeP5MDgBgX1wi7ot7CaVBb+CwJhhymoZ7yxVwNe2BUicskwIAnmoloDPCIKPwLKoF/R46E0o2ih9rYUewAlc8ZBg01BO9j1zAXZufAQDM2zcPADB7H18Z+EKE41peg69OE7R50jS6j27Fa7P1vFqNVRu2X9+OGzUVPDXVEVXm1xvYBnj0H3Zwl+lAjxlM6Zfhb9sNp532di8MmtYGQx/mLxjIFczfXVttgEHHLi7s+OG85Lks5Cw4wmwc/ho4s4HXV7DsNKpP5UOXWYGac0V2Q5kJwKFSVjQrV6eHkaah5eQZ6+sh7NSRQi9tMuGvTxfaHTPEz7PO12+MhYoWe1JE259tGWTdLtbzP5vucvuLOgQCgdAcUCtr/7hrT5+DQCA0HM3SOP2k/YsAgEq5J+RyI9Suz+A+bMS2cCZf0yTjv+zoimgMvzEcANBZIwxBpU0qgAZ0GgPeGd8B4bJSwZgrFHvODwO2IhRsaG6FUgaDKhoAYLS52bmVbYJcl4m40o/xTIsgzI8OZTqMNGBH4twRryW6YmpfdgXwms9s6Dl1VK8GJPHGV3g495C6pVSPR1u9jSsqRmSgbEsaai6yNRQpFzlKN13hHWMorIGJZo2P8p0ZKFqbCoMyHEURX6PFnhQUtPwRABCj45SriezNhN/OOQ+M+xJQSy8gcPEJdkOH/uFo2zuU125RJz606Sq+eX4Pr0/txFtNlxcA/7wGbHycaRg8n9dfsDQFRT+eR/ZbB1F1QtxbTAA22tTg/OBaDkr09WvQp1QIF3UmnGQXdAozrwv6bennWzfj9KvreQjdnYJlGfnQGE2ihuqVag2+ul5/nxHba6zsyCwY/dAxCq+1ChU7hEAgEAAI7x/hPszib6XWAP0t0AW4FagUZCGOQLhdaJbGKZc/MRFexlK0Rwb0CiaPokIlXbv0k3yhiuX9ZZ54ucwV372wF8dX7cVwF77X8nCr9tgSyHpOddpqRFWyD9starpJXo+CEX65r8PNVIg3W4fhuUgmpBeuChhDmB+IeSLeU3uI+mwohaCOKpcWvYKdOrcBQL5LIf7Xcom1regHVqGXFjEyDnqkIGF1Aqr1zOuYmZeHxxSVKAkVeq4COkwGJi1nG9z9AW/n8uIe/qAPHl0krgAMADK5tAWqdMI4zX7fJvzbjve25NfmFRZVX5hoGhtsjNOvMvJRYahf41QhsuJ9mCNItvqV5xyeQ1vHEjQLrjFRE0lXsxG19zS6HeJ75r/OyEe/I6lYcC0H1fX04PdlBj/vvJ+vB3IHJ2JUoA8UMgrXBsTXy3UIBELzQ2dzH2plDm3t+Na/iJ2/tTGmVO8Ya1Hv+qsHOuOd8R0cDyQQCA1CszdO11MPYmDCL/jHvy+2ZmUDANICGUGk+AqhTHiAzU3aXe+OELAKtNUVfIERGkByyzj8nehjbcsrKkNUNXsjDNJ1giPujbtX2Gj29IV0DUHYOyI5mBJ0v8u+x6fGfZCgbUWN80I0JpkR5XKh8jAAUcu4TyWjjjvt72moMdRgZ4gSRwKE6rrVXmPwTeLbQLzIe+EEHr5quHlJ12xUuPBXTrmrxRZT5niVAde17GcgVbONHQ8P0LQCJksI97Y36jTPO5lrNeLlnfofrV/Jfr35b/uhjRo2TdO4keo4jBsANCIPM2nVWlyXeA1S3NDqUckxvt++ms3O08YArjaa8OTZdOwTETKS4mRZFd43G8QWPGy8BG5yGbZ144t8+SmlPQm0yYTdq5ejLL951zwkEAhApY2mQmpuOSq10joLZ2+UoVyjl+xvbP5MycY9X/M1BWiHyhosY+LDML13VD3PikAgOIvTxilFUd9TFJVPUdRZTpsfRVHbKYq6bP7f19xOURT1BUVRVyiKOk1RVKNKnmX4ueORju/jkrw9jrRgQ11PezK5qHoZ85AWZBDejEdmjURJ4HGUu1LQKoAa9xu8fp1CmKuppvjlVLJ8gwRjbBkdPVq0/a/XB2PR5HjIXJwLScnt4NgDVeV7v1Pn+qv9Egx+qC30nkJD1ETVzuMzorQPrpRewZIz66Xn5TMFi9Ib9mHYL4z9+xsNJix5eicAQG72tOlpQNM5CMoO/jhVbQBl84N2Q7sB2VpzzqmbP+xBG5pHOFR98lm6c6GsnT2loxucwVKipq07vzyA1kTj94/ete5TMulboEbEc9r7yAX0PHyh1vNpve+MqFFbZbMY9srFTPxVUIp7U65i3En7eeUWfrHxRO/q3kZ0nKvNa93Zva3oOABI3rYFJ7b8juXPPYEL+3ejODtLciyBQLi9+WQ7P9KnsFKHLu9uFx2r0Rsx5sv9iE/aJtrfFHh+7SmcuM6/L9bCcUogEBqZ2nhOVwIYadP2GoD/aJqOBfCfeR8ARgGINf97CsDXNzdN58kvrZHsm9R7CU5FDxe01ygYg25LJuN9GJY1DPek3YOwKrbkzOfjfPH9MG+Y5PwHzGGm3rz9rtkpUEGHfmBLOpwP4wsGcRkYMRAA4OUink85/MQla1L+5fAc0TFcKvo6zpOjZfYf/BNeV2FZ79mgwyrRvm8Y/D18rX1xPYLRwtN+rVQx5uQ8CF+9Fz4uTXQ8NjUDWwtKa30NZ6A4ebx5/6TDkwI6qGXWGrFGAKkHc7DhQC4ydDRSNUOglh3inIHj8R33FWg7JWZK/7paz7O//cnS6BwPqge+zmTCXHU2TyQVRiM0laxXMnHEaKjdGUVGg4mGjmOQajnHOhJYslBpJzx5cXouDnPEoADgmfPXsSanCO33n4GJpvEPp+TN0bIqJJcLQ/pDdiXjG/PrK9DpsfIGm4qwpUss2nmIh5u7cD77L0QGI0QlLYJ29cRR6/bfX36MH18RL7dDIBBuf7JFnpt0nMXVqNe2YOq3h1Ch0dv1qDZltPWcOkIgEBoOp41Tmqb3Aii2aR4PYJV5exWACZz21TTDYQA+FEXdElWOtPRsx4PMhN5gvAFrek8AAGShJQDAW8+UmumdzxielsfSQm/We1ng4Y1qr5ZwAz+MNDb/GlzNYcDhqcJyGP5ZjGquUROM09NP46uhX+HMw2fgpnTsKfoz9oCgbZv3IezyOoanW72H7wM3oURm/+GfBj8X724vYR3UShPz8D69w3QAwNinuyB+SASeWToYwx/rgE4B4mHK3wVt5O0/0+o93n6Pyo5252ZhbU4xHj2b7tRYKcp3Z8KkE/4YFWUxxkG0iwz0gWwM8VKitZr9u6psUhXdZMXwVX4BAJDDpp5s27thqpEObapyokTNncaoQOa71d5djSXtWkqOO1VRjRytDsY6qt5a6nsWGwxoz/Gelmn5i0typRKaKuYzMSXlKlruOY1CnQHpNVrsKWa/GxqTCb/msrc/nUQ+6sgT0rnGJhqYcIovFna4rArzLmWhWG9EtdGEShtP6qI0/oJUjpb5fr91hbnPdTpwjtfvqxSGy1sI4PR9VksxJoP+1iwqEAiEW4/WiSifw9eK8cgPx8C9JUe9tgVRr21pwJndPF5q5r6XWSztuCAQCE2Lm805DaZp2vL0lAvAoqoTDoBrmWWZ2xqcgiJGhbUjnWx3XHtKgcBWMdZ9nVyBnzBJdKxBxhovF4NbINfLDxu7Dsbqzl0wsT+/DpZPeQmUlBFqaOFVxDf8uqddgMxs+J1+8h+7MuWTgllv5fdZTCmWHXk7USGrwjr/f/Bxm5+wPOg3fBr2IxaF/4B09Q38GrAd8w++Y/d1g+J7S46efVYwxE3BGMrxAYyIik+QG/rfF2f1Or7V+y3RU+cr+WsXaeobuKZiwwG7GR62PzcbrtdorZ4jvYnG+UrnflzKd2ei/J90ZL95EFmv7UPBd6cFYzq5iYdJ5+n5xlBb112QUxVwdz8ImrsQ8RTzOdNcsF2vIdjDIlS0QKXBWB9X2Ctg1PngeXx4zXG0gD0G+3lhU+fWmGdWrD20/V9rX4W7F3bt3AEAWDxlDA6YvZodD5xFr8MXkFbDGmTbi8rx3IUM6/78y/zwfgvZWnaxwjY02VYIypYqowkDbRSCd9rknnI9waNFDGFPO7X83OTO3+6vnz5lt7+iuBAlOeLvAYFAuL2Ij/ABAPxvTHvc1y1CctyJ6yVYvO32qv8c6Klq7CkQCIRaUm+CSDSjLlNrNwdFUU9RFHWcoqjjBQXi9TBrg0eVDN2yzyIO7A10xt/Ch8JMmQmvtmXtZYsBmoQ5grHXAtnw3l1tu+L3zgMkr99Wz5SoSFU/Ch8j33MXlXcCALBu9DooZNIeDoBfm/D1yzfw8sVMzOk6B/e1eRmrgv7Ef7KD2Oi/Q3CcXhVr3X7Bcz98s19CQOYTcC/5CQCgde1q7ffPmgkKNLrJmRw6nzE6XB38H57fyYTwuSvdIYab0g2np5/G1NhXkBTBRmx7GYUFq6O17A/dC12F3uE3z9RgyTFxNeKehy9g5IlLqDaa0GJPCoYcu4jhxy6iymDEvclXcLJcXJRJl8F/oNdeZUIljVV6tPeVFkwCmLBeLmermUh2k0EJE3ys7XRoAvR5VaL1Zj0HsWHP+kKyWsvFYtRtXvo5vnz4Xryw7A08vYpVbT7dh6+Q+IWNCi2XkF3JCNmVbPd6HnIZvJUKdPNmPnvH9+0GAFS4e2LZQ69g2UOvQKe0/5kAgMtV/BJT2wuFEQcXqzRW9d0ItRJbu8VhQazjNTlL+PDVai36+tov+s5V9z0hEvLrbadcAncxTFmH+n0mzv3s26cfwfcvzKj1OQgEQtOjhR+TCjAmPhS/n7IffbbumDAiLLdMWIKvqTBjYIzjQQQCoUlxs8ZpniVc1/y/5UnyBgBuYmKEuU0ATdPf0jTdjabpboGBgTc5HaB1Yl90u3wFsWbj1K/SiM5h3oJxFUYThvqzeZ7VLmrBGAu72naV7LMl3o99gJs/srV1e4KmBC1dgrFq5Cp0CHAsUS63eXj8MbsIeqN0COn4mPGgIUOl32MAgBhFKV7qMhMf9X4BFK0FRTN5IiY565GVmRjj7oQ+CgCwSvYftmv+hJFmXoNSJu3XoigK93W+H0c8z0BHMfNS0OyD8dTYVxy+RgDw1dPoWWw/F2QBR930TGUNYvadwb6SStx9QlwwRi6h2Jvz7mHE0jR87ZSUscVLzoTm1mi789r1OVXI+/SkdV/mxi42eA1nw1XzPrYpP0MAAKg1rGHlUcPmYQaplGytXzsYnMwBlZm/R55mo03rwqyiX49gv5uXWnXA0QTpEkSAULio3Cj8zA7kKA5nmZUsHw0PsGswcpmcfMUq5NTFi13Ieej0NeSZPbLHyiRUss242BF4AoAL/TqipdoFB3pKiyFJYRGS0mnYBZeSXOfTKJyBpmkYRYTpCARCw1FjToFRK+W4p6u051SKiias3GvxnA6Iu/nnSwKBcGu4WeP0TwCWWM2HAfzBaZ9uVu3tBaCME/7boIS3aA111lVU72QMlO6XNLhxsRQ7bRQsZ0fy63rubtP5pq7b39cDcW5qtPdmQwHj/bToWHwNUS5yjIcGBp0BXYKdEy5u467m5YgBQM+IYZLjFTIFisK/su7Pat0JCpkCY6LHMA1m49Si1DsjiDUOlFomPPB6eTrvnP6u9tVoZ0SNxTMlpZgd9SF0lB6HPdjw2TIFY3B49BN6jvpywhvdzM+hO/+rwDMtxFWNv+cIvjiDS4RQFKrmQpF1u31PxzVdfUMZr3HPgM0AACXFzxXM/4If9ugaz/7wUXIZXKLEBa7uZLi1TN010kaW2sbAEhMjqhAxDrl09HDlGYWecmZbp2QWoa7fPdXat3XIPdjT21brjc+3WfyojmqjCU+dS5fMPX0zhom2kFMU9jtpCJrAGMFuchm+4OTjbi8qR8JBJrf0lUvSqrkvRjnxuVYqcLR3e7R0rX2oW9qp4yjJzUbaqRPWtpLs+g3t3fnDN/hs2gTs+en7ej1vc4CiKDVFUUcpikqhKOocRVFvm9tbURR1xKyOv56iKBdzu8q8f8XcH8U51zxz+0WKou5qpJdEaCJYck7VShkKKmrvBa1DIEaDobGptd7Kn/ktH9bOcdUEAoHQNKhNKZm1AA4BaENRVBZFUY8DWAhgOEVRlwEMM+8DwN8ArgG4AuA7AM/U66ztzxPKihKoL1di1sr30f0yI4BiW1LisfAA3n6hp89NXffXxNbY27MtENXf2uby8wTsOPMoDhd+A7VaDa1WC5PEw6wY6xKiefvVtHQo8IbLG0HLWaNsaoifdXtW4iwMDOfXSXVzZRWElRqmOpDWja887EikSbX3IzxdWo7ZZSkY33Y28l34+ZdnJmyF992tEPAkX0BJVvKpddvdwBgeXgbgzdZhqC0Pn7kmaKP1IkJIq9jalu0GiIdaeo+NxoPv9sZjH/XD6Gc6oef4aER2YAx0Pd1a9BgL7t34hoEuXRj2eScz6/x1xO47I9k/9/dlONOXiShQyfhPOnNSMwTjbVV4bTlbWYMgF/b7wvWcHo/vg/N2hKyc5c/8UnxlDjv+0kZg6BlOWH6gizACYVyQj6DtkfAAfJtVgGqjCS1FSjVp7dw75keH4pVWDa85d+zPjagsZheLNn34dr2eP/lfZjHo+F+/IT3lpIPRdxxaAENomk4AkAhgpHnx90MAn9I03RpACYDHzeMfB1Bibv/UPA4URbUHMBVABzAK/EspinLOvU9oltTojJBRgItchh0X+KkUqe+OxKUFo+we74yg0q2iwqZma1SAO5LfHI6HekU20owIBEJtqY1a7/00TYfSNK2kaTqCpukVNE0X0TQ9lKbpWJqmh9E0XWweS9M0PYum6RiapjvRNN0osY1ummp06BsKNy8XyCgKc3WsgWoRB5kTad/bMGKofY+KgCFvCNtO/Qi1mrm2ViusdShFjBvfoP4qS1oxs7Dlj7x9GWcpc2bCTIyN5v+49PHxwEvdXgIAKHRpAACN5xCn5wYA0DPhfcOq2TC/nwK24JKaybvFpx1AySioY3zgPoA1PA2+7NzczKVYKCfruNryb2E5TlewXmCT1oiqo/ZVcguWsR7eixrGkJV5ucCzbzi8A13h6ukC70A3dBsVBWrCUmaecvGabxYosyIgpRR+pUzVeuhz7YdjNnc2OhADkuVmwd0c6quy8ZyKCQnVcAy16zVanK+sQciuZFyp1lgVbi9Xs981i1CQzkWFXX3udnresW58D2Mvb34etkWw671aCDel9OmAbztECfJruXVQ9Vot4s8f4/VH7hEKewFA9qAEPOfgPlYX4oeOxF0zZ/PagiKjsXv18nq/lhj/Lvv8llzndsH8u2qJgVea/9EAhgAwF18WqOZb1PQ3ABhKMYnH4wGso2laS9N0GphF5B4N/woITRWN3gi1Ug6KojCpC3/xVq2Uw8WO0BoA5Jc7/1zT0JzLZstxdYtk0ph83FzsClASCISmRb0JIjVV5C5yGM2res8PZcWCLAXpX2oVInpc69atMXbsWET4xYr2W3iuZRByByeyDRQFPLFTME6tY7yKGo3zITOuNuqaO0uq8MNdKx0eF1jwvqDNxcYb1c/XA9PbM6ViKJPEnC5uBb7qDugkDKsbJwRNPwduwdbANxGv4f9YqUdEWbcf6DTNuu1lVseldUaYtHWrQzbi+CXQZn370j+uQJ/jnCF4VWtEqsaE8zE+CHu9p/ggcxiot2K15HkiFvaHzMX8tzK/zYoAttZk/jenkfcZ8QI54kYqE7q6rajMwUhYczMBIF9nwJBjTI75M+eu45N0YZkUlUwGymREhXvtwq0H+/HH294v8nTOeWDP9+uIOZHB2NW9DYLN9UX9bML2d3GUeXU11ZAbncu9lNXzQ5fJZM4/8/BAx8HDMXf9ZmufUi2dm3+z5F3jh84PfvjJBrvW7QpFUXKKopLB6DtsB3AVQClN05YPC1cZ36qab+4vA+CPRlTTJzQt3v7rHM7eKIPGYISrklkgfvkuNgVqy/NsLr67nQXkR1cek+y71VzJZzUMvnzg5tK1CARC49AsjdPpi760buuqqqCtZn63VQo5kvt0wMbEGCjMxpqt8JCFkSNHomvXrnBxZR4gw0sKMP3gVrTJuc4bd3+oSF6mizAcVrfrQwDAhQsXavVaeIYvgCt0lHW7tU9ruCpcsX/qfv5BNcJrHC/jK3tSFGVdSZTREoqya6cChZeA9yXCbUvN78WbxRjtzebVfVRQhJ9z+AZCnp75G/QoNGBy+3vx555KJJ2pgQ/n2T5/STIu9++EGRHiwgWftG0h2g4AR81CMYYS541/S7224U84rr8qp0oQ5DIbYe/0Ee2nLCvL5vc04BHWK2bIY957sbqrdyLPr3hXtP36mRQAQLBIGOzlKg1K9ayx9ganlMsJjkhQX2/pUHRaJkdyx1525xZtzsX0U8rxYlSwNXfUQj+bUi8pFTWYZFO7VAw/pQKvRoeinQe7aKGQid97Ej3dkHPlErJDpOvAPhxmPx/8Zvh9EfP3ObHld0GftrrhIgB+mvcCbz+ivXg95TsZmqaNNE0nghEZ7AGg9spWTlLfSvqEpkW1zoAfDqRjzJf7UaMzQW02Tj1U7KJZdACrHr51NlulYN6ottg5dyAmJNY+FaehsbyOWYNjEOrt6mA0gUBoijRL4zQwks2nTD3M5KtpqhgrKESlRF9foWAOACQlJWH06NEYPHgwAgKYnNTd5oexAg9v+MqAIg9G+Tfe0xW5gxMR7SYiLCKSq1kO5pq7d++u24sy81teCZYOXYrtk7dj0/hNODrtKLxVrBqxUiNu/NrLVwPNWohhegN+z8rGY71W4cOox+xPJtD8XCSTY+GEX3Hm4TM48/AZ5DyyE3d1/gblcnegmAkZNpotwXG9WoKiKMTpN2FMNt8zZMivhodchrdjw/HZiWo8eYXvfX0g1B97eog/i/1dWAbaSEOX5nyupyVr0WG4z7SNAACXN/ZDZrN67DmQUTak1ArIfVTwncTkpsr9hR6m7DcPOj235oyLXjwELPNsCsoLC9DNHDrb3YsNoe1/NBU9D7OfbUtNUoD5TlvYcTXNuj3AQVkWWwYe+gfbusUBAD6Ii8ArrUJFDchXbLynBzlzqQ8KdHq4eXrBv0TcINjToy0+bMMs1LjXonaps6SdYrIwxFRzd638VtBWXihd7sdZrhw7LGhTe9Tu73cnQdN0KYBdAHoD8KEoymJRcJXxrar55n5vAEVwUk2/vpX0CU2LGs5i6aGrhbhRyixSu3Ny9bnhvF6ubLtaKUd0oAee6M/XxbhVGIwmjP9qPx794aigr6Uf8/w1uA0RQCIQbleapXHKRaX6DwCQ54RAzeHSSnTv3h0DBw60tr1QwDx46ZQu0Gq1mHhqDwb7eWJr1zjpE4kYp+3BlD1p27aWC93VxdjFURo+UFqJ/hH9EeLOf0COUCuhqtoPn3xhSC8A3MsRSHog1A/IPAqsnoAetApyI5vTlxKzFqFGOT7MluHTyIfZE4iVsSlIFbYBeKTQAylebbE6bBzwRSKu7f3aWpMxTO0C0DTUMvZHxf9R1stYsYdRI+1XaMSMq8Ic2zbu4mGFUZDhxny+Bzl0fk+oYn1ExwNAYBtfPPFJf8l+K7HDgKQyq0c89A02BFjdnvFgUTIKoa/1gFsC84NIURTcu4uHjDcHqoxGFOkMoGkaK7IKUG6w7xXmihxZtiLjO+OppSut7cXZWfhu1qNoYWC83w+H872DZRLXmHmejWa4rGbDcB8Qi2qw4fO2rHfSo6ocbjImWmF8kK9grJuOmdeLUSGCiIb65IZWD51Wg2H7/xLtr97P1De+2K8jUmzyVu3x8+tz8N/3X0v2G3Q6LJ4yxrrvG8apUfzz75LHfTfLwSKWA66fTsYfHy/gtY2e/QpkMqLRw4WiqECKonzM264AhgO4AMZInWweZquab7mJTwaw01yP/E8AU81qvq0AxAIQPuUTmjUFlewiYTanTqmMc6+Wc7bdOEbrxTwmBaFdaOOo0q89lomUrDLsushfwDOZaCzezlQfUDlZwotAIDQ9mr1xWp7PqLlu/jLF4djf80sdjokMD8fahBjJcGAAomG9QWAULgMDAwG9BshyQiMqyRtY1ArtrmxCvDkc0FISwxaNkQZlYn5sHuvIeVhcGAkkeSORUzfxk7YtgRXDgWu7YNQI8/ui+28TXqDURjHVEhMrgiUsM0TLvOY+xt54/gJzfIXBBNSUQEax+XWqVqznt/o4Pxx493U5zvTtwDMGtnaNw5J2/JDHTy4LBWnkni7wf6Cddd93Cr+cUIen4qFyk67lKoXcwwWh/+sF/+ntoYqU/nH2GhlV63PfDqRW1SBm7xl0OHAWR8qqMP/yDbx6UViY3cKxsipoRdR1J89/F57+AYJ2w6HdSO3XEZM5CyoWQnYlI2RXslPzHMtRxKVFPq93B3ijnQe72JEZ1goXD+zljfnswYkIKmBqeQ7e+6dT160tMgAeNh5QvUYDlU7cw7zz+2UAAG+lAh61eADLvXoZyf9ukeyvqeQv4I17cZ51W66QVgq/WTa8JxSRa9tngMjIO55QALsoijoN4BiA7TRNbwbwKoAXKYq6AiandIV5/AoA/ub2FwG8BgA0TZ8D8AuA8wD+ATCLpmmSc3CHsedi7UK1uV7UHLOXVSIzocGp1Ijn4z/143GkZJYCgEMRJwKB0HRptt/emd/86HiQDeEqoaHyQDnzUBZZxCjAZmVJ1xm0IuI5VYD57TcYDMDmOdAuH4milQ86N7Hfn8Y2s/e01GBEgYgIi8ZkAmUOz5188ndOR6nwfGc3WjenVtgPSbzoFokihTfKl/YH1j8I7P0YAHD11CYc8RLPCbOEXLqYhPNMr9ECuiq4yNLgpVgFf+U7PIVb71GteOM9UkvhdppfoqazlxsmBfpg2VE2j7ZALf5RlnFCkdw7B8H3HlbgipLX/ZdV7q6Ea3v7njmZWmg41JwvQuVRaWVXzZUS0E1Ill+MQUcvWrenplwFAGwyL+y8cjETo45fsvZfPXEEY08yUQMvRAbj5WWMIRLXs691zGOf80NFdZoa+JjFgn7oGFWnObrKKN4C0n8r+B7Dv7rE4psOUVbVbgCodnWHhpNTufOHb2DU65EfyORV0TYLUgMl0gNqQ8bAeGQOShAIL1lCa7ul8KMBpv/6FRqK5H828/YDWkiXXhgx43kMms4KFokZ/3Xl7mfn1tu5mhM0TZ+mabozTdPxNE13pGn6HXP7NZqme9A03Zqm6Xtpmtaa2zXm/dbm/mucc71nVtNvQ9P01sZ6TYTGo31Y3b2e3q7Ms5JF3TfcxxVf7byMD7bWTlOjriglfru5ZXCIcUog3L4022+vuw8blmfUM2F/5YUSwj9mivKrYeJ4eIxGE/KvMd6EwalCZVpJuA+xU35imsy7e/bsAVLWYBUm48v01kDhZefPa4arVGpBYzLhMa847L6ehRY3kpnGKrYeIZK8kdsnhvFAbmA9qyOrqnEmLQN3F/A9RhYGdl+NDn3/RFy/v7GmxAjsfBdGmkbfsmiM7yz+oGzJFTRRwo/XEH8vQM8YlV6+B+A6ajwv55PWGwXGWcmGS9Bm8L06havOo1uJEW+fFv+beo9hc2EUwW6gzIaiW9f6L7khBSWSD1i0+jxKf7si+jBfse8GCpefRcF30vVAmxoazvdlT3EFVmcX4VRFNQp0etRUlFvFdQAgvZz1lo+Z85p12yeIH/7s4csa/UP96/YAVcOZ165V3yFl+9+8/rbuaihllFW1GwC6pxwAxfnMXj3Bj3TMC+SLf7wdKy4GMrwWc3aRySCnKPTj5McO8nHHxUP7AACDD/2Dkbt+AwB0pbUILrJfJulm0FQ5nzsb16sfuo4eb93/ZOpY0LWo4SxFv6nT0bbfoJs+D4FAsE/1TQj0TezChvxfzK3AjdIafLztEr7ZI6w73hBw66qaJGpeE+OUQLh9uSO+vUYt87C/+Svx0N7Onoyn8/zhHHz2/C6E7ErGO1eyEb73NHYkMn1KYx1v5O3GAmM+EzRnw/xA/lU3587zSXvrpl7PV6StNppgoIHTJnf4cx8Qt7/FP0faPsnTf3ZxocMpvNjmVaS6RSF8N/s+VoULS7DsLmGMkGq5MD+0s6cbW5pmzCdAn2d5/frcKuR9Liy7UrCU/7fTXmLyZIflCcN7FAGu8OzHVkYIfqELwt7sDYDJDQ2e21VSdfdWUblPoD+CmjNMmJXuuvOiTg1Fm31n8E1m7YRuppi9qABgooXiOccr2IUE7oIEJZMhLI4Nv+Yaki4y+7eo+0OFob8AeB7Rk3//wesbFeBtDaPljgsszoXKjY16aNkxgXfcpCJ+6HIQR1U4Uu0CAHgrJgwr6uDtfYijvtvjczbM9cW1f6LjxZMYsed39F75sbU99cAelOY6X1u1upwN37+wf7fomFaJTt6LAN77ZGHPzz84fbwUPSfeR+oREgi3gGod/7cz2EtE3NEGS5mZgXGsQFawV8OVl5Lio3/Z6J2tZ3Ox+6Lwt8rPzeVWTolAINQjd4RxatIzdTBLcvnlVHKulEKvM1ofJpOjVUhpxdygl9o8mMtoxuiLi7MjhMRl+p/As+a8Um/pEih68EM/S0pYcSK4cNQqy1ljRnOdUbakaRrlBiNytUz47GUDJyz591lA8k/8i627X3IeXkbnSkQM6r6Kt189cbnk2Gq5K2zXNBX55wCt2fhycRccU7E7C4YC+x5uLioRZw23jAtgLpvDSY5RBroJVHcbGmULfgho2d9pvNIytMEEXUaF7WENxuwLGfgkXdwLpzfRKDMY8daV7Dqfv9powvn9u5EZGmVtc7djaE59ZxH63seEuZfkCA13KWxzNS1s6SKsTzxr5fuYX3gZP3RqZTWAuGq3Kp0Wf3/JGoBndzG5132PMgJErjZh6tw6pT/FR6ODhxpTQ/0cGtQAoNdpYTSw5+PWKqVr2O8iJZNh4IOPIeHCcbhq2e/Fli8+worZztcBLUhnVYy5rxEAtNXV+GTqOFw/k2xti+kmXHTqNGSEoM0rkFXEPL395qJDO48ce1PHEwgE51l5kF8W749Z/SRGsswa3BrpC0fz2vQikVy3kllrTuKRH4R1Vl1v8W88gUCoP5q1cRoaywrgaEs/haunEgWZFSgvrMF/qy/gt49P4tvn9zAKsgDK3eT4t4vQYALYsNzOnZ0s6hw9EAgwPyAXX+V1FYINOc5DAFDGPIynpaXh888/x+nTp5lOHT/Mbs3plwEANfu/YF7f7hTE7TuDzQWlAIBXSv5lB9sapo6Y/AOejBCK0ziihpb2clTL1FgZNoHfuKwvsNocDqhk32vfSUJjwhZTDbPSS+vFfwy73eUJ9bxuUAQ0ndpmwXO6IPjFrvAeIczf0+eyRoipmr+K3dB5p+tzi7EoLRenK6oFIcYajvc9ZFcyTJz+Mr24EIUtz367HBvvfgjrxj/BtvlKr2RTFIWeE+8T7VsUF8ELv+VStZv9zPc4xYamc+uJWnDTVOOJkXfx2lxkMiR4uuJDb/75TZxIiT4nd+PlZW8g5/JF0dBVP6Ucse5q/Ne9LXyVzgkHffHQPfhs2kQAjPjR+X27cLZPB5ztK6y5W3A9TdDmiH1rVmLzZx9a9+UitWMtHPtzI2jahOR/mZzTyfMXYNzc1wXj+k55CABfxffBDz6r9dy4mEzM+xzXqx+GPDrjps5FIBCcxyIcZCHEm/WAHnxtCLbPcU6UrKBCXLjtVlOfee8EAqFxadbG6dR3FvH21R5y/PLeMfz4xiGkHnQ+JC5epkRsLGM81SnkrAuj5t8bx6GEHgfR1dr1IyYBacxDdU4OM6cbN24A1/YITqM2q/Fq2k/ktb9/jTmuusIJ9b2S68K2eVlAx0l4pzUbCtuvxLkc2xoF35jneuPej34Kq0LZvLTre4fxD6bZB333Ho7Lrhir9Kg5W4iybemSYw5o+SHP5QYjQnYl48fsQokjGhZlsDuUQW5QBAnDIEv/vApDsQZlW9NQvp3/d9FcLBaMry825bHe+RHHL1k/PxZsc5ozNUxJnwKdHm32n3XqGqmtOyGtJV8dub3M/sMDJWGATg8PQNrAeHzFUWgetXMjnl/xLsJ2bLK2DTzCeDo7cBR4uUYmKAqunsJ80H+7tcHDXeJ5bToN66WcsWy1dfvs7h28caf7dMChnu1QG8oL+FEZu1Z9i61fLYY27TICXITG7YV9u2p1fgA4+scGa94qIF6f1IJtrmlQdIxoGRd3H18MfmQG7pn3trWN+37qtRqrsVlVWoKyfMf5sflpTI7apcP7HYwkEAj1xa5U+ykbYT6uiA12TvBN1URyO1vN+9vxIAKBcFvQNO4qDYTtA1ZBmvQDkHeVdE6pl5sSLVsyD8a+vsL6hw5RMg/Lh9ANeihxEqzKrRZq0L/PhNFoRE7mdfO8ZaBXj8NVtEQuWG+mRWBob3oqKkVqPl5Xhzqey+f8h3CEdwVUzI8QRVG43L8Tdrc0Ym28sLi2r15YdibdKEfIrmQkHGCMlkVp/AfSVA/2PCraRr3Xo3aF3fM+Po6iny6I5mtamHGOb+RtL2Tm/PJFJ1SWGxCZUvhV02dVInfRMVTsyULVMf77Jvd2nP9TV54+z3+PvszgP6jU2HgHq83GaqcD53jtPb2FUQZvxjAiQVXufCOw14nd0Gc4FstIGH431CIGJADcE+yLZe0jcX1gPDpeOgWVXgsKwBM5qVav6Q/n/sPcI1us9Tp1NayR+eJa50vBXD5yEADg6uUND182r/W/FUt544JUSng76S218N2z/LqgZ3YyRvW6t17htY9/ick95YbO1pbygnwUZl5HftpVQd/VE0eweMoYpGzjl5dRukh/9rqMGgvvIGlRsU/vHw+9VoNvn3kEy597QnKcBZm5NJZS3XSiHQiE5s6jK9kw2KXTumDptC51PtfkrhGOB9UzbUNuXimdQCA0XZq1cQoAU5JYoR+j7oroGE2VHkY7BbtKQaNv376YNWsWgoPrrvbqCXE1zLcxB++++y7OXGCS/AsLC7EKk/Ej7sEyPGQdl2E2Pr9o+SBa7xMqugbpaulte3Qr8ORO/hwVcrSN6Qpl68G4NoBvyJYo2Xqkq84yNRAfPsOEHObp7Id7phyaKGz0jZIc7xLFGiieQ6RzdgGgf770tWddYOuznqmolhzX0FCc/BfXBMdGeemW2ody1hfVIp7TCpvFkLsDvPG22dM+J5L9TnBVZ7n0P7bDatiNe1EYMmpB7eEJTUU5Fk8Zg7xr/O8rRVGYEOyLoiuXeO2+f/xk9ZoaDAarp/GzBydiyeNTAQBDH3va6aiH0twcaM0lZaLi+WH8RoNzYc0Wfl3wBta+yRqdtsfnXuWrdZ/Ywoo3te7eCwAwfdGXkue3GOEAkJ5y0jpvCxcP78eql2YJjrtx8QJPSZmLXFm72r8qd/4ixRfTJ1s91nqJWq0WDDrGKz/q2RdrdU0CgVA/3N0pFHd3cmJhW4JBbfiLZ7civNbLVfoe9dbY9jidJMyPJxAItw/N3jj1CmQfnGVycWXPFXP3odJV+q04W1kDmUyGwMDaefpsGYAjTo27fPky0iE0yCbmMyGF07P/EPQBbNivgKcPCttUXkCkfcVaNwmxGQD4JfguQZuYNxcAPA2VCHbCcPYZF8Nct3MQgmYmIPz9fgh7qzdcwsQNHgs9i5wzGEr0jVdnnlLIEJbUG6Gv94DnAMcrzfoc5wSq7FFlMOLfQqG32xG2ntPpZ9IQa7MYMi3MH4lebjjWuz1eCPWxtvsoHItQBERGSfaZjOzf8topocgFAKz930uSx1/ihLIa9aynXipkWIxt336JPT+uAABEd+lud2z66VNYPGUMrp44iuLsLCyeMoZnMGacSUb2xfPW/dJcvsjUz6/P4e3vXv2d4BoqN9b4E/Mw6mqqUV1Wio3vv4nNny/iqfju+3klb6xFgXjdmy9Lvqbapi7c+8Z7kn3VpaV2j7X8LWvKG1+hmkC4EzDUs4CRbViv3tjwxqneaEKrAHF9kPPZ5fBS126BjUAgNC2avXHq7uPD7sjEb2a2PP9nKWZuLa33ubhAd1PHq03M8avDxov2T882hy3GDOF3BHcQDrYoCTtgVadWmB3J9xbLaCMWXv5UMNbWqLFQobBvXFpwacmE6rhEMl5TSkZB5qqAuoO/6Hivu6IAAPdl6LG80nEYrEcj58bI1ArIvVSgVNIGnKU+q0zl3Fx1mRUwlGpE++ZezMTDZ9JwqUq8X4pyiUUGLpaQ3hZqF+RevoiYdKb4+o9PTXN4rL2w0bRkNtf54C8/OzyXX1gEwtuKfL5tuHbyqMMxFjLPnbZuWwzDx78QV6Xe+N7/AAC/L3oHGWfYckcmk1HUg1BZUrdc4rnrN2Pu+s14YMHHgr7lzz8Jg565NxRmXuflkNI0/zsZEuNYeKy2BEe3hourMKca4C822MNUS480gUCoGzqOcfricCerD9hBabOIrXHi96M26AwmlGv0grYof/F7Tv+4m3MiEAiExqfZG6dyhRJPLV0JADBqjoA2MSv0mpJPoCn5RPQYl+zFmL+gf/3PBfwHxS5dnMvzsDziUu3G2R1nzemctpH5v/9LwPw8icHOGYx3BXhjXjQ/5CexIhWB+lLBWEuIb0u1g/piL14A3hIe7xLhiZDXusO9J18cScqTI3dXIvDpBMgADGsfiicjAuBpx9trG67aWMhcpXMUPfowOZvGMscLGSadEflLkpG7UNzDeK2a8aTbvm5/BzmSU1Ps54Z+0yESHmYP6Zmd23By6x8Yv20dnv3hPah1QkP4Jznfe2svv9An2H54mUHPf0gpzs6Cb2gYPPzEFzCcPS8ATP/oK+t2QAtGXTkqsav5eCcEuzilYQxaLQwiIa0bFrwhaBPjya++F223zItLTXkZqkoZkSvaZOKLQHF44svlKMwUEUTjkDB8lFPzs0VXIx4yL1VTFeCH/HYcPLxO1yUQCLVDy1G7f25I65s+n687//f+WsHNR/1weXTlUcQnbeO16Y0mqJXii7zjEsLq9foEAuHW0+yNUwDw9GdFhbRlq0TH9E5lhVMo0Fjx3CPW/dzBiTc/ifvXQxPGD6MdPXq0xGA+p9EOWV3mAVN+dDx44KuATAYklQFD/2cVY8LDm/njlOKrjlI8Gs6+h+9dYUrZhNsoi54sZx5QVTIKH7WxCV2dsQ94chcwYy/gFQZIGJwKH7WoMerSSiiS49opAKpIL0Qs7A91jA9cZTJoTKy3qkDHN2QmJ19FyK5k6Rd5i5C5KeDRNwxBzwnLElnqsSoCXVF5wH69z6qj9tVQLW+jCTS0JpNVhTfe0znxmYG+4qITgZycxG3ffIFrJ49BbjJa63CO+3cNwnPSrWNMqad5x6vcpD97I5/hh7lyS7fkXrmEsjyhyvbZXdsdCur0MddQtQfXwLUYcfZCXP/85H3e/u7VrHf13J7/oK1y/iHNNs/TngjS9EVf4t7/8UNp18yfCwCoKim2Kuba4h0UgmsnhQsZPiGh6DBwKNr07o+hjz3t9Jy59Lpnqmh7jk1+MJfqUlY1WuHiYEGLQCBY+edsLjKL66ahcCGHDaGvU/UBBzzw3eF6Pd+BK0UA+LmseiMt8NgSCITmwx347dYjKEpo6AxLqeHtV5WWYGWEFzYmxtTPZduMROREvtdELpejO5Kt+wEoEj10E0Zi+UknQjP/VwgMlhCbadUfeOI/dr+WP0pPRrChMokVqQCA782KvtGu/DDNlmoVpoTY5PeGxgPhXYDQhFpd14L3cKHHyNYDmanRQU/T2JxfCgBYlulEaZ1GgKIo+IyNgUu4uPda7q2CoaAGpX9dg6laLzoGAIylrOeJNufTplRUY0ryVdxz6gpSKpjPtMFEI2rPabTaexqZGh12FVfwzuNnswL9XEvGMFov8dm31EHNSj0n2t8m7Twm/sOE5LrKKPiGhouOE0Pl5sbzGn5y/zgYDXroaqrx8/wXsXLuM6LHuahdMfMb6cUbewaxBXvhxlyMBgP0Go1V0VeMnT98g2+efti6X5qXi5N/s7nij332DW/8lLcWwlkCI1uhZccEuHp5i/bfSD0v2g4Ajyzmqw17BgTi8c+/w8hn5mDMC6/WKjeXS/sBQ0TbCzPSBW2pB/ciK/WcU2q+BAJByMyfTmDkZ3sdD7ShSmvAA8ud076oK9W6htF20HJqf+sMJrgoZLi0YBSOvD7U2p4QIX5PJBAItxd3oHEKuHmWOB4EIFFmRF8J71FdCAwMxGOP8ctI3AW2nunjWF+r8/2e/Bw2JT8HAHg242dA7kAEoFrc+HUGi5hxy5psWMzaBE835A5OxJoEftmZedEhcJHJkDs4Eb8mxCDdRvW3TtgY0x4DhAbPJrNR+sS5dABAitmTq7Q51tiEinX7P9vRuq1q7QMAoDhlZzSXpT+r+lzWM6cvqIHWZMJdxy9hT0kFDpSyeYffZBVYQ8PHnbwMW4r1/PzIGpMJ3naEjdp7MF7K9W+9KjlGac6BnBcdiujO9kWFbLH1Gn42bSK+fOQ+XptPCD9MVyaXwd3HF+37D67Vtbg4q1JbU1GOypLafZcKM69j1ypW7Igr1DZ3/WaExrYRO8wuY18Qf/8PbVgjaLOEJ/tHtOS1D3zwMcHYuuAbEoa56zdj1Cy+6m5lsfB92vL5It5np899jvOUCQQCQ5l5wbJKZ8SaIxkORvMpqLCvnl0fDG1b99JX9thziV1sLqrSQk5RcFHIEOzF1rWe1OXWl7UhEAj1zx1jnE55+0Prdurez63bT33WB09+OgAT53bGru5t8Ng6tq+mov4VJC31Ui3/K2CCN5jrqKBFS7ChnBMnipRf4dBr4gfoXXYam089g9fSVji+eEDdxQ9UZus02k0YPqmyKcPT0ZP1UvX384S6HsJv5L6sVyvouc7wuVtYh7WfD98Tud9soK21MZ631UHBtqFYOvchbEz/FC7tfeD/QFsAgKGQ9eIXr2XKCxkr2BxUfX41SjZehtyHfU9ogwnzLonXct1SwL7eHC3rie3l7Y7O5r9VJScvtdpogqvZg/ZbIpOTlDkwATmDEpA7OBEhKsaIC46WFteZ9r/3kDs4EU+1CILag/271Jch0rbPAN5+zmXmfRr2xCyEt22PqW8vQlzPvgDgtMHqbIhbeUGeqNFljz8+4pdtkSsUeGDBYjz7wy/WNndfP9vD7NKig/iij1Ev9LbfM+9t0bFqj/qtFxjXq1+tj5HKkSUQCELWH2cN0tc3CUvK2cNgapiF2R8e7Y4fHmEWIbtF1e4+Zo+zN9jfrhk/smJ5Gr0JueXCaLIp3e2XnSMQCLcHd4xxGiGh6KmtroKLqwJhsb5o5+EK/1J2dU6scH198NJLL+Ghh8z1S8O64CmswaP4BTIA9+BveKECM2fOREICPwTWISkUkQAAdJJJREFUZDLh764cgyCyLwAK3crPQTFQujSEFb9WwMtXgf/V3oMaqnLBDx2jsKx3X0Gfp9xx+ZCbReGjRui8Hgh7p49kOKxtjc327syKaqInP6Qz2KVpycwbaB1+3DIPMjfxeVXsu4Gc946g5lwhACDvkxOoOpaL6uOs2FXB0hT8ludcRICF37vE4qEwJs/yVDmbv1RtNFnLCPXx9UDu4EQoZZTAeNNp+KHwAKNuO2fNH4hoz3qEuQZQ17vFlaZtcXG1n0PadfREzFkrLKmkVKsx9e1FCG/bHsFmZdq2/QY5dU2A71mcs4Z//rufZ75ja//3Mnb/6MRikAQWAz00tg0v3PjRT76u8znF8PQXV618ce2fuGvmbIS3bY+wNu3q9ZoKFxfJEF+ALxplocso+0JvBAKB5ci1uil+A8DWM2zO/tbZ9Sf6OLhNEAaYVXJ1Br4AX2ZxdZ1rn1ZohCrelnNF+Ap/I6REkggEwu3FHWOcSmHklDAosMmP2r9utbVIfH3i4eEBpSWE8KldcA+MQqTZY+qNSryI5QgJEaqDZmVlobUbY3ANLD7GhLomlTLiR4PnOXdx9wBAbl+tVYpRgT7wUbkw10tiVzQ9OCGgvbydK9dTF+TeKshcpH98LCVvLHMY5OcFtYzizQ8APkyzLyTUWOi14nnFZVsY9dyiHy/YPV5Ti1XxwELmIcVihN6XwizE0DSN3/NLca3GcfhXSbbQU3vP6+9AZrNYIVewnzepkiO2POLAUFOqVZDJ5Og58T7JMd3GTsTkNxaglTmk1Rm63M0aSravY8d3S6zbloWrNn0GYEAtQ2Mj2nUUbbeUrek2dpLT55r46luSfVOSFsLDPwCJd43htVMyGToOHo6pby9yOs+2Nox8+gU8v2qDaN+ymQ8L2lw9hRoABAJBnP9S83n7GrPewL7LBViy64rdY7/ewy64u9n5La0LchkFpZyCxmBEuUaPwkotruRXov+iXfjo34t1OmegJ//+pNEbraVwwnxY43TOsDjEBTtXgYBAIDR97njjlFvuQawQfHrKyYafxDOHgJkHRLtee+0167ZcLoeXQo7cPQOx7sxLDT+vWmAJAx0Z0HiCBBRFoYuXGw6XVeHtKzdQYzJBLSLwsqekQuToxueL6ZPrfOwRPzkUtdC4kplFjW5oberHObnCLbYS/uK6vyRzJx9Z/DVGzHje6fm5eflI9kV36Q65glnc6Td1OgAgLE7oAZTJ5IjslOj0NQFIigwBwFROaoCFNn36ozvHmHT38eX1x3Trydtv23cgWrTvJHmNues31yoPNLqLdD6vd1AwZixdiaGPzXT6fPUBJZNBqVZD5c5fqCovzIemAVIlCIQ7GZ3RBJqm8dCKo/jo34sCA3Xt0Qw8tfo4UjJLeWJFrvVsnAKASiGHVm9CfNI2dFuwA9+YjeGlu+sWhaa3KYOm0Rsxf9NZ87XY3/bZw2Kxbc7AOs6aQCA0Ne4o41Qs3ExTyQrHyMyGjF8Ym1Sfee604Jh6h6KAEAlvikplzU+trjaHXiaVgUpqOnmTALC6UysAQPcG9Jw6Q6aG8XR/nVmACoMRnmavafagBBzsyRowWpNJ9Pj6QCx0UQy9SB3MiqJCu8do08T/7rO6u8FQi8ipltmMN9aL8wP/7YUr+OmC/ZV3C2L52PZyNv0jWqDTkBFOz0+uUODp737G86uFHrjhTz3H23/iy+W453XxnMraYvFqioXEBka2ErR5+vLrqz68eCmiEtj6xRNe/h/PcE49sAcNha3YUWPTpjcTNmhRdf5uVv2ILxEIBBa9wYQT19mUjo/+vQitgTFCq3UGzPvtDLadz8P4JfwFcFUDpONUag34/kCadf/XE+I6CM6SXcpPHVl5MB0bzOdUkRBeAqHZckcZpwqlsJbe2d3brdsVxYxhMITjaeA+aDY4HcwCSP1YxUuKotChA5Mv+/PPP9+6udSS/n6eyBgYj66NbJwW6Ngw7Q15JfA1/4DJKAqRruzf/6lz6ThWVr/FwgFg9avP47NpE7Hnp+8dji3PzxO0/TBnJo5W/4vrcvEwqIw1RwVtxjFRomNzBomX7Xl0/RcYcGQ7jAaDNUwcAN7MrcT8fOdq52WeY4U47nvzfUFplPrAzcsbSpWaV97kwQ8+g4eNcJB3UIjT4cKOcPXwxJSkhXj44yWOBwMIac0XGXNRu6LXJH7Nzx4TWI94eNv2Nz9JCQY++BgmvPImANaj3JgozCHD6996FddPJ/P6Hvrwi0aYEYHQfHhjNLPoVak1wHZd8qC5NmilVpizCQCTu0bAW0LjoCnx3NpTvP3PdrBq81zPKYFAaF7cUd/uiA7CcDoTJ+f07y8/ZtqMRkyevwAAsH+9dO3EemfsF0CPGcDAV3jNsbGMsEtcXN3Vdm8FLnWskdiQVHLEGeQcz96/heUYK1JW5WYpSGc8ksf/+s3h2EtHhKHceq0GaXnJOHzld9FjXCvUvP3D+X9hsUwoTBSrq0YxJyfUTynHn51b44VrJxBQkg8ZbYKmsgK9fTzgWiM00mNc7eciHt/MvL7AqGi06BBfq1qmtWXWirW478338ein3yA4unWDXcdCRLuOTtVFFUOuUCC8bXtMnr/Amg8a3aUH7n7+ZUxJWlireqa1vrbSBTFde2Du+s12c3FvFdzSPBve49d4DooSqm0TCATnWbCF0SCYsOQAZBJRK+eyxcPoLYZtU8dezdSUzNJbNxECgXBLaXrWRAPSru9APP7Fckx+YwGmJDEPief37RKMMxkN8A5ixHWkFC8bBLUXcPciQMlXoXMzPyhfunQJVVX17+1rzjgj7NMQtOyYAJqmUZYvLb50ZBNTRsQnOFS0f0vmt5LHni89hCp9Ga5Xncf5G0IPbPTBf7HyxadxfSBTbuSVVqHo4eOB1rnp1jGWcihdzhwSHL+3Z1vJawOAfzgj2d9n8gN2x9UHKjd3tOgQD7+whjOAnWXYE89Yt1t2ZEu5jH1xnjWMFQAi4xOt+aAURaFd34GIaNeR5wWuL+56+gUAQECLphXWCwf5y3fNnG29DxMIBCC3TGNX2Zbb91CvSADA4/1awWRzzKsbmXSkR384JnoeL3Xjek0LK7VI+vOcIKe0NmQUOxflQyAQbj/uKOMUAHyCQxDZKRFegdKFomO69oRnQAAA4Orxwyi0UfG91Sg4aqfHjon/2BAYLHU5G5uYrj1w6p+/sPy5J5Bv9qZyyb50wVqPcsKrb4qeo9JQgjPV+/FHxleCvvOlB7E5axkAIN2N/zV+edkbiE89ARlkQFYlcgcn4pFw5vN8/TQbJvXTvBeweMoYUIKgML6XWYxze/4D0LBhqk2RhOF3I6hVDACgvIAtOxXXsy/GvPBqo8yp46BhmLt+M9y8fRrl+lI4Kh/RcfBwSeViAuFO4Y/kGziVUYLcMg16ffAfPv9PPKJnw4ksbD3LLnY+3CcKAODnrhKUb8mv0Nr9/slktVDPqwVi5V3E6LZgB1YeTMfdn+8DwCgNG+2ozfdrHSBos+dVJRAItzd3nHFqwaL2CQAb338TBpvC9TJOuZX00/y8h1sN1zjdvXs3SkpqV8/yTqKPr305+asDpJVS65Ndq75D1nlGVbAk54ag/8/F71u37ZXSOJ93ABpjFY4X/strN9IGmCgZNC5qVLqJ5/kOCLkPBUtToM0oh7FCuiRSakzd3xOFqv5LkTR19Bqm5E9sL2HNXwKLlJf4iS+X3+KZEAhNE5OJxux1yZi49CBm/nQCACSN05d+TcEzPzPVA57s3wowLyq+vumMaKmWfZfFxfXem9hwC0KD2tQu0uxyfiWS/jyHh1YcxT1fH5Qc9+ZY4SLo7KGxIiMJBEJz4I41ThWc+n7pKSdx5Sj/xmhPebSx+e03x/mMdzKftm1h3f68LT/U0b0BFAotmIz8ldzL5s/U1eNHBGOrStkFBrlCwVOIFiOv5rqg7c/hU/DlY/xcPleOZG+wKxP2VbA0BTnvHYHJJL7SHFjEDz32qigR9fZa4K7Ii4mMNXcstZEj2nVo5Jk0bWy/Dxa8g4Q1nAmEOxGNgf2OJJtzKJ2p5hUX7AlXF3bROlkk//K/C8J0DwCY1jOyVnOsDTMGxIi2h3mrRdsBRoEXEH8NFoI92ePbhXohfeFoDIi7hSlXBALhlnLHGqe2gidbvvgIAKBUCW+i2uqmlduQmZnZ2FNo0kwJ8cPsSCZnuJ2H9I9iffPpA+NF2y/s383bXzH7Sd6+Uq3GPfPftXtuhYyfI5QXEIrL0ULjyE9Hw1XugUB1C0FfTYV4fddRuzfx9ss9ffHP0k8l58J9PU15EaehKC9gHvrU7qTouz1MRqFSaGR850aYCYHQNGn/5r+OB4mw+2IBwn2EIbQfTY4XGX3rcJOonZpdpkHb/21F0p/nYLITvmsbihzqrUb/2AAoOUW8Zw0WN4AJBELz4Y41TqXoN/UhQdvhjWsbYSZ8hg0b1thTuG2QURTmRYfiQr+OiPe0r7qquQlBhtrA/dEtzc2xbs9dvxkymRxeAfxVYFuRpEo9P5R79eRZgmu8dl6DpcerMa7lLKhkwtdd8sEZeCr9Be1ykxGr0o7gl7as4JCU1wsAtn61WLLvTkJnDu8liBPRlr94MvDBxzDZwSIMgUBwzOC24poZ93ZjFyVXHWKibSgK8DWXjVn2YNcGnZfaTu1Rjd6ElQfTsecSm6s/qiM/ikJrkzubU6bB5bxKKOXso2qlRrw8DoFAaD4Q49SGmG69rNvjXprfiDPh06dPn8aewm2Hr1Ih2m5RsAWA3/LrJ3/XnjEHMKHj3P/FuGvmbABMHqd3MP9H20DrsTNnjd1rDLqcjvAaxgiWUeJf7UB1BMa+OE947cdmoLe/FwYf/BtP/fQxirIyeKHHYqgkcl3vFMLi7Csa3+nE9eqHZ5avwcMffYV7//c+uo6e0NhTIhCaBa0CpO+9/u78VAuaBkqqGU0NraFhRYS4xqmUOFJBBaugb1urdOHWVMH43HINFBwBp72XCwRjCARC84IYpzaoPdhQvVYJDbvKWBtkMhlCQhiDJSwsrJFnc3ujkskwPYzxIPopxA3Y2qKpqrTbf+nwfgCM+JYUHQcPx4RX3sTT3/wo+iBfoMnEP1kr8NuNZaLHB6hZz2fvoHGiY0y0ES5qV8QPGynoUyiU6Hb6ILwrSwEAy2YIowi49J3yoN3+5sqL6/7CCz9vgovaOWXKOxlXTy8EtIxCy47xDVJGh0BobrQL9cKmU1nYdTHf2marZOtqx0O58WnpheyGVriVc4zIT6ck4th8YcTXK+YyNwDjGeWSVy6MRhnSNoiXPtIuRFpAkEAgNA/u6KeF4U8+K2jjPnByi8g3BWbOnAkAyM7OhoaEFN4U9wT7AgBc5fXzFdi1UromKQDkXbvisLQGwJSgcXF149XQ7DBwqHW7ki7FiWhhuZzpp3c7Nc9Yry6QyeUY/uSzeHHdX+hz7zTMWLYagLi6qtGgF7RZiOvVz6lrNjcoiuKpfRMIBEJdiPJ3Q5Q/PwXjQk455qxPwaM/HLP+ZtiWilErpX+3XG3yPtsEe1q3b6VCQGILHwR6qtClpY/kmCNpxbz9cQnswnuN2ZBObME//tF+reptjgQCoWlSP26j25ROQ+8CAGSeP4PUA3sA8B/Quat1NE03KfGXL774Aq+88kpjT6NBqC4vQ0VRIYJbNZzwQYU513RKylXkDk686fPlXrkEAOg8aiwGP/wUaJMJMrkci6eMAQAUXE/DvjUrnT6fXKHE3PWbAQC0yYSEEXcjKCoaRoMBLQ8JywYsmv0CyramoWJPFq99V85aDA6937rvpwqF0hyOS1EUek++H/bQa7SQe7CGmEXxN6hVDNx9fJ1+PQQCgUBgvKBGE40qrQHpRdXwc5dWPG81729cfm+UIBzXYoB6uypRVsNfQLTN+/zx8R44n1OOR344ht4xQs2BhsKSJ9qvdQBOZpQ6dUwFJ5+03Zv/AAC+2nkFz3PKxrjZ8RoTCITmwR3tOaUoCvHDRmL08y9LjolK6AIAqKkov1XTcorqJqYgXJ+smf8ifnptdoNeo76XGdr2HQAA6HvfQ6AoCjJzyZoZX6+yjjn258Y6nZuSyRDaug3kCiXPs7+tWxyeaRGEf7vFAQC8RkZB3t2Td2yFvhh7cn/ltQWLeF6lWPL4VN7+shnTAQD5aVdr9RoIBAKhOVBYqYVGX/fw2N4f/Ie4N7ai87vbAQDFVWwNaq6X08LcX1IEnlNLWG+vaD/BeK5XdeGkTgjyUmNQmyCkLxyNSP9brxPwaF/Hnk7Luj835NeCzka0UCZrOk4CAoHQMNzRximX0c+/jOmLvhS0l+YxyqpHNv1yq6fkkLS0tMaeQoNQls+U6nAmDLauDPW/ubyVf5d9bvWKlubm4PBv6wEALq78PEQPP/GV6oc/+gpPfb3ypubQ3t0Vb7YOQ4JZkZiiKISM55cSMJh0qNSzoVOuibWvDXfw1zWoKi2ByWRETXnZTc2ZQCAQbme6LdiB+745VOfj8zmCQLZ4uwrTBf5MyRao2Fq8o59OSRSMd+Gkqtip2tJgvDW2Pb6b3s26765yHKC3/qnevP17vmbrzt/b1X4NcAKB0PwgxqmZtn0HIjBSuMI3YNqjAICTf/9xq6ckSkQEe6NetWqVnZG3Pwa9zvGgRuLsru3W7YIMdpHAmdDv51b9ioCWUfD0C7ipOShEVpApjvrhuZKD0NM6VBpKrW3GEukHIykObViDZTMewvezn6rTPBsanU6Hq1ev4tq1a6BpGrm5ucjNzW3saREIhNucrJJqbDrFpkpUaJgQ2tNZ9btId1835nf9aHqxoK9/bACW7uZHqlhUbt1cGMOPooAjrw81b1PW34bh7YPrdZ7O8GjfVrzrKuWOfxNjAvke3RPXWaX454YwIb2p747ExQVCIT8CgdD8qBfjlKKodIqizlAUlUxR1HFzmx9FUdspirps/v+2TFCzhGc2FR555JHGnkKDwi3JoquH0OWainIsnjIGqQf3So6puAl5fZqmcfnIQccDOdRF5VVnMkFvomEwL4V38pA+h/eYaADAsI/nCM9z3X54+oMffIZWieIq1RaPNgC07t5bdExj8P777+PHH3/E6tWrcfbsWSxbtgzLlokrGhMIBIKz9PtwF+asT0F2aQ0AvtFUnyycFC9peO27XIi1RzN4bdxF0J8e74n/XhyIYC+1te3K+3cjfeFoBHqqGmS+tUFqwbaFH/sbZsmhVSlkyCzm/+63NAtGqZVyqBRN63mMQCA0DPXpOR1M03QiTdOWeI7XAPxH03QsgP/M+7cdHr63TkDAGRQKBbp3797Y02gwsi9esG7ram7eOC3JyQYAbPl8keSY2H1n6nx+o8GAC/t32x3z5JIfrNt1Kadhomm03HMaLfak4IVU5iHFojYshme/cEQs7A+5pwtmfb8Os75fh8BnEpy6VnB0a0ya97bDkOPxTaQGcEkJ/2Fx48a65fUSCASCFL+dZLynj/xwrN7P3SncGzIZ5ZThFRvkIRBQ6hcbgOhAD4kjmgZzhsVh2YNdcSZphLVt6+wB2Dq7P36Z0RtuLgq0D/WC1mBC/0W7GnGmBAKhKdCQYb3jAVjiTlcBmNCA12owgqNbQ65UIqBlVGNPxYq/f9MymG+GmsoKGA2sQp9ey5bIqS67+dAp2sTm6tRXDiv3PFUlRQ7HewUEYsijMwAIc1KdIWYvKxKxIY8xxjydXEFWu3tA7e4BVUsvQOH8193TL8CqFtyU+fzzzxt7CgQCoZmjNZigtxHmqSu2ZWDWPNnTur3iYWZtf8eLA0SP/eeFATj5v+H1Mo9byexhsRjZMQSeaiX2vjwYSx7oAg+VAu1CvdCjFSPqdD6naYlOEgiExqO+jFMawDaKok5QFGVJTAumaTrHvJ0LQDT5gaKopyiKOk5R1PGCgoJ6mk79YtTrUZiR3qACPbVB3gRCjcsL87HurVdvSsXYaDBg6eP347NpEwAAmspK/LYwydq/7q26l8qhaRrlhQXQVFVY29KSj0uO31NcIdlnS0Uh+znlhvQOmv6k5DGJI0YjrmdfTHjpf05fx0KNiKqFsi6KhWZRDdpQPw9ZTR0DZ9GDQCAQaou/2UsZ5uOK3LKbry2enFkKjZ5///VUsyJIQ9sFI33haLQOEqr2AoC8GSjVtvR3w+j4UKfGurk0/rMOgUC49dSXcdqPpukuAEYBmEVRFG/Zj2asOlHLjqbpb2ma7kbTdLfAwNorid5KTMam8bDbqVOnxp4Cjmz6BTdSzwlyOVO2b8XiKWNwfp/j0ByLUQoAy2Y8hGN/CUMy00+fqtP8Tu/Yiu9mPYpDG9Za2/5b8TVvzN9d2NppU1KcL42Sl3bFuu0dwv7Idh09XvIYSibD2BfnIaJ9R0HfsbIqhOxKxtVq5x9+lmfWfiHHrSuzPkTrnTdOn/7uZ0x7/1Ne2yOffC0xummxYMGCJrOgRCAQbj/izKVd5v12RhBualt71BkmLDng9NiNT/ep9fmbG8ffGNbYUyAQCI1AvRinNE3fMP+fD2ATgB4A8iiKCgUA8//59XGtxqB9/8EAAIOuaajHqtWs8EFxsVDd71Zg1DOGusKFn/+yY/kSAMDWrxbX6nxVpSU4uUWoiLxp4dt1mt+O5UsBAHnXWEOyvID/EWzlxheLMDipu+/i6mbdNtbDZ+LZ89cBAPtKKgV9OVrx848O9Kn1daqTmdevuej8Z8bNyxshMbHoN3W6tc0/vEWtr91Y7Nu3r7GnQCAQblPseSrLaxp2sbpr5G2pIVln4oKFebMWNWICgXBncdPGKUVR7hRFeVq2AYwAcBbAnwAeNg97GEDTqMVSB8LatAPQdIxTAIiNjXU8qAE5t2cHAEAmq7+wG7HSMfWtlmzQ663bPjZ5m2tyHOePXjl2GBsWvGHd3/LFRzc9p+sa5nUrOKqGYbuSMeRoKpZmiK/pPBFR+zI0ngOYcgXF6y7W+tieE+9Dv/sfxoRXah+W3FDk57PvzYQJEzB69GjBmJ07d2LPnj1ISkq6hTMjEAi3C3+lZOOvlGzRPpk941Sjl+xzhqvv342r799td8ylBaNu6hq3E+tsap2ue6pXI82EQCA0NvXhOQ0GsJ+iqBQARwFsoWn6HwALAQynKOoygGHm/dsShQvjYTPoal8jsqHw9GTCjU6fPu1gZMNCm0zQazWoLi9rkBDKurznuVcuSfZdOsR60mwl7kNU/ALomxa9g/Vv80WmpcKMW3SIr+00BSzJYEq1aIwmmACcr9Lgu6xC0bHudZDUV0V7W7eL1qaiOqV2wQw9J9yLmK49HQ+8RSxdutS6nZiYiO7du0Mmooa8axcTjldTU0PyUAkEAo/n1p7Cc2vF7+titaSfGsCU6vpkm/TvjCM+n5oIuYxymEPqUgsRu9sdWxXidqFejTQTAoHQ2Nz0nY+m6Ws0TSeY/3Wgafo9c3sRTdNDaZqOpWl6GE3TjRN/Wg9Y1GQ1lcKwy8YiNzcXALB79+5GnUfRjUx8MX0yvn5yGqrLSmt1bJdR4yT77n7uJet2yvattTrvv998Idlnz4DO0fJXwq+dOIqs82eh5xjI1aXide5Ubu6i7bUhrUYHE00jam8DLThwHoRqUgpQvLb2HtSmzptvvokZM2aI9n344YdYsGABFi9eTHJRCQSCQ8RsxxHtmdz9LWdyhJ1OkhDhU+dj7xS8XZWOBxEIhGbJnbMsdxNcTzkJADj6+6+NPBOWESNGOB7UgITFMaHOx//6zdpm1PONu7L8PLvnOLn1T8m+dv0GWbd3LF/CKwnjCLmC/6PmGcAKbdkLzf44PVe0/YuH7rFuh8W1FR2j5OQB3wxnKmtE28cF+eDGoARMCvbFmvjoOp1bqhj67Yg94zI0NBRdunSR7K+oqICuCYXoEwiEponeyL/PKOUUPNRsHmSVtnaRGHHBHugT44+ogNovZvaK9qv1MbcbG59mQntnDoxp5JkQCITGhBinThDbqy8A4NIR55X2GpqgoCDrdmN4gYwGYb7NuqRXbcY498MtV/KNyQmvvCkYo69FeG/8sJG8/bFz2NDcizbqwrEcUaRnWrDvqe3rO/rHBtA0jcLMDNFrevjVT+3ZQyKiSACwMC4CcorC0vaRGOJft3AnmWfzWYk2GlmlTLGFmnHjpL3yALBy5cr6nlKjU1NTg6tXnVedJhDuZAoqtPjf72ftjrGtbXr5vbtRo2PvPZW1ME5pmsalvEocvOpY24BL8pvD8evM3vjx8aaTUtFQdI30w1/P9sNLI+IaeyoEAqERIcapE9DG2kvGNzRubqxi7D///HNLr02bTDwVXAuW+p/B0a0BAGV54mFPRVmZWDxljHV/4itv8fpjuvYAwOb6AoBe43yZFYuHcNyLr+OhD79AaOs2eGb5GgBA5vkzvLH/dI3Djm7MD2GN2Tu7eMoYfDZtIm/cvjUrce3kUasQlC19Jj/g9Pzs8c5VcWEOP+XNqxYqA90cD7oNKCwsRE4O+9kKDw+v9Tm4xzcXVq5ciR9//BFabdPJjScQmirzfjuDHw9ftzuGa0i+NoqJmpFxIlBq4zmt0tXtOcLHzQXdo/yglN8Zj2udIryhuENeK4FAEIfcAZzA3bd+vGINxZEjR27p9WoqK+z3VzD9J/4WF2heOfdp63aP8ZMRGZ9o3Z+zlj2m9+T7rdvlhc6L9+hqmNDYiA6dEBTFhMCq3NkwKm4NVneFHB09GaNtUVouqiRySgHgn6WfWbfnrt9s3VYoXQQldeqKj5IROhoX5FMv53ME7WT5nKZCaWkpvvrqK6xYscLaFhkZKTp22LA7o0bejRs3kJSUhLw8Joxer785FVEC4U5gxwX7aSdcFt+bgBlmIaT4CFZYrlrC4NQZTKiwUfOdtLTpRF4RCARCU4YYp07QsuPNK7E2JO3bt3dqXMbZFKQe2CNop00mp0NwAeDSof12+/vc+4D1eo5QufNrm3FL07QfMMS6vWb+XKfDl/Uaxjh14eSBcs+79avF0GnEczu11VWS59XYGOWTXkvC459/h9k//SZxhGP+yGeMYctafLGeedj5IDYCZ/t2xIbEGFzt36nO57clYmF/eA5h65QaS28vL1tVFf/v4+8vvXDUqZP99y0nJwc3btyol3k1Jlu2bOHtE+OUQKg9Yr8vkf5uGJ8Yhnu6Rlgjcri5+3suFYieK+6NreiUtI1noF7KazqCigQCgdCUIcbpbcxzzz0HACgpkfb2AUwo6+IpY/Dru/Ox5YuPkHWBzbOpqazAJ/ePw2fTJtg1zACgKCsDi6eMQU1Fud1xFtGhzneNsTsOANKSjwNgPJFcbyQAuHv78Pb3/vyDw/MBgE5TA7lCIRBG4lJVIi4efWI/33if+vYiyXO06twNPiGhTs1JihnnmLAy28citZxCgIsC/Xw961Q2xh7eI6Ks27mLjsFQyBjqZf+kI+u1faA5eVY0TaP0z6swaZpGCRaTjTDWrFmzJMe6SHizvby8EBISgm+++QbfffcdCgrEHzBvF7Kz+aHgROyJQLDP5Txh9M/Xe4T52jqDSTSc9vOpiQCAj/69iLIa6cWgTknb6j5JAoFAuEMhxqmTxA8bCTcbY6mxseSdOsqf++Xtebz99UmsQNDSx9nQ2fN7dwqO1VRW4q/PPkRRVgZWzn0GAHDw15/tXi+mW08olC7QVlcDAD5/6B78s/RTAIDBxqsTP0y6yDglk/FUe/OuXrZ7XQs6jQZKV2F+Zbexk6zbJok84sNFZbz9/OvXnLpmfeMur1+D1BZ1O1b5seoUEzJdsTsTAJCz8Jg13Ldy3w1UHsxG9oLDDTofZ6nklHPq06ePaF1TC1zjdPbs2dbt8vJyaykmAFiyZAmqzZ/V2wmDwYDjx48L2onnlECwz6MrjwnaFv0jLK2VU6aBwShUii+tZr9jE5eQcF0CgUCoT4hx6iQlOdmoLittUvURXV1d6/V8O3/4RtC26pVncenQPqthyqX/A48I2h5Z/DU8fP1g0Ous4kEGnRbn9vwHAIJaqI6EjoY/+ax12zas1mQ0QlcjNCpStm2BRsS7G92lu3V72zdfil7vfDF/fsGt6l/SPq1ai0tV/Nf9bYeoer+OPWhOrlTFfxkwVrEPW6YKHXQZzPsn92IMPIWv86VyaBONorWp0GXy/15l2xjPrMVTWxfWr19v3R4+fLjdsXKzgR8cHAxfX188//zzGDRokOjYRYukPeRNlQULFmDz5s2C9n///bcRZkMg3D6I/Yx3i/Tl7RdWMikPvycLRepGx7MRM9cK7Ucc2fJQL/EceQKBQCAwEOPUSTLPnQYAZJxxnEfZXKguK0VlUaFkf5ve/TDzmx/xzIq1GPLYTMT26AP/iBa8MUsem8rb/+UdvhdX5Wa/3ptSrYa7D/PQENKaLy//95cf48tH7nN6wcBkYA2y7EsXeH0BZjXcI4n9YZTJEdujDxKGj7LWc+Vy9/MvO3U9KXofuYABR1ORpWHDL2+VAJIF34mxvP3C7/gqxgXLTqNi/w1rMqyhwHmD0lShQ01KAQpXn+e1V+xkPLO5Hx+HqZb1AcVwpm7r/PnzMXPmTACAn5+fpHF6u2ERPxIjMzPzFs6EQLj9uFHK3s/+mzsQADChM1/1W2eQrq0d4KGS7AOAKH9pZfR3xndwZooEAoFwx0KM01qy+Yum6WHR6/UoLCxEUlKSNWTxr08X8kq2cKFNJsnQVgsGB7lr3kEhcPfxhauHJzrfNQbj5r4uGKOpYsMwjQYDyvJyef0+wSF2rwEAD7z3CQDgzE5+/s7FQ/sAAIc3rrO2mUzSr6lFx04IjWtrvi4/VzTWnXnYqHbzxCdPvY0xL7yKYU8w+Yz3vfUBYrr1so5t13egwzlLcbKcXWXvdohvvJ3uwzy0vNrK8XtysygC+F53fa5w9b9s8zUUrxWGutlCm2hkvbYPlYezrfsAY6Qay7U8r6yFwhX26wuKXqcOUQtKpVJgxN511121Pk9ToqamBl9//TWvTalsPjVsCYRbSaAnc+9fuDWV126pcVoXT6ebC1v6i6ZpFFWywnPOLKoRCATCnQwxTp3EIozTcVDTLE9x+fJl/PLLLwCAgwcPAgAuHZZW1T2/bxfK8nMF7RcO7EFBRjoAIOfKJQAATckEgj11IWUbqyracfBwPPHlCmtNVHuo3e17Vw/++jNObv0LNE2jMIMRGBr8yAzBOJlMjvvf+QgAUMqpwUqbTGit5j/cyzg5ny3ad8KEl9+AXKGAZ0Cgw/nao0wvbTwHqZTIGZSAFyKDb+oazhLyanfHgzjoJcJxtWlMnm7p71dB0zRojsch5/2jyHlXmK9K66W9ElJs3bq11seIIZWnumHDhno5f0NTUSEUc4mLi8OTTz7ZCLMhEG5flHIKrubyXZXmaI6yGj3WHMmA1nwf6xntJ3m8heIqdiE3q6Qa53PYtJKCCi26LhCvj00gEAgEIcQ4dZLQ2DYAgON//ebQo9gY/PLLL8jPZ4RtTp8+7XD8P0s/xfcvCA24v7/4CKtfZvI8N3+2ECa5ApVtu6A6kvE4PvzxEgDAXU+/YPf8fe6dJmg7vvl36/ZdM2fDO8g5I0yudFxDdNfKb3A95SR+fPV5AICrl5foOMuqtbfZY1uYeR0bP3gL2b/+6PAaz636FY9//p1Tc5bC1UFxcYqibtnKem3ySAGg7C+hmiUAGIvY/NnK/dnQpQvzfQ3F/BxbfU7t8rQA4OjRo7U+RgyukavmlBs6e/YsjEYjLl26hHPnztXLtRoCjUie9rlz5+Dn5/ghmkAgAL2jmRJUp94cIVDjfWVDCl7fdAYjPt0LAMgudZzS0OXd7dbtfh/u4vX1eP+/m50ugUAg3FEQ49RJuJ60lO3148GpD0aOHCnannLyJG/f6KKGwdVDdKxvaBhie/bhtZUXMoauJpwpPG5yY44NaBGJues3O/QgJ44UhhPTdfS/yhUK+IVF8Oal1wof0LklblzU9sWiyvJycWLL71j10ixcP30K/iWOy4nIFUrIFQqH4+yxPOv2LVti0op7fWvOsXnJZVuuoWSjUFW5cAU/p1UZIf5Z5HLq1CkkJSXh55/56tChoaGYP3++M1MWJS6OzV1++eWXERUVZd0/ffo01qxZg19//bXO53eG3NxcrFu3DkYHofW2mEwmbNy4UbSvvgXSCITmSHZpDYK9VGjp5wYPFf9+Xlatx7/n+PncMonFQm9XEkpPIBAIDQExTuvA7tU35z2rT0JDxetsbvrzT95+dUxH1ES1FVXYnfb+p7h85CCv7btZjwEAjO7iHkhHuHp4Qu3JHKsJbgm9t7+ouFJBQQHKy+3XTQUAv3BGaOnHV5mSINxcVgt/f7XYul1oDk22x+7Vy9nzl0kLP4lRZTAiR6uDzmTC6BOXcLjUuQLrmwvKBG0HewpFlxoLv6lt4DeljWifmEcUAFwTgxye18DxrsrcFXCJ8HR4zB9//AGACVnn5pvOmDHjpnIs77+fKZ8UFxcHuVyO9PR0a9/27dsljqpfNm3ahNTU1FrXWD169CjKypjPUJ8+fRyMJhAIXKJe24I+C3fi9+RsuCiEjz8J7wjrkg5pK35/2/7igHqfH4FAIBCIcVpn7Anv3EoCAgIk+0xKFe9/AJB7CI1NpVo8vNPgJm5AFBQUICkpyaoYStM0Tp8+LfACPfnlctz97Fzo/YKgCWsF2rwCff+7H1nHLFmyBJ988onka7Bw5dghAGw5GbGQZC7dx9/j8Jxc3Kv5xuU/IkYkl5h9Z9D54HnMv3wDJ8qrMeHUFYfXMJjEPcfRbvaVHxsS30mxkLkpAAoIfrEr3BKD4NY5CMEvdLGOUcV42z2HqcL5MHeZmwKmKgOqjgnznS3QNI3ffvuN1/bRRx9JjK49FEUhKSkJDzzwAABgyJAh1r5bVe+0qooJa961axeSkpKsBqcjrl+/bt3u0aOHdfvFF18EALRq1aoeZ0kgNB+qdXyFcG6t0rYh0otl7irxaJkgT7WogWvhwV4tBW1fPdDZ0TQJBALhjocYp7Vg2vufWrebSt6pm5u0ZL3em8lBq2rdydq24/gpwTiZTI5OQ/kKppUxHVETyfeg3TP/XQCMQQnAqhh66NAh/Pbbbzh8mC984+Lqhnb9B7PnbNsVAOATEmb/RTmgvDAfBq3W7hiZTG63XzCeNuGev1cjkmYeWB45m+bUcT9mF1m3Q3YlY012EX7PK0HIrmRcqeaHHn+RIV3+o7Fw7xGCsDd7I+KD/lAGsZ8lypV9IPMeZd/gKfvbufcKABTB5msYpUO8CwsLBXnTDWk0JiQkiLZnZGQ02DUrK5nFkIsXGTVk29BlKS5cYEsgccN4PTzMYfd2FqsIhDuZawX8PPdCjoJuaq5QZMyCm4v0b8mx+dLpLd2jhDngY+Jv7rePQCAQ7gSIcVoLQmLY2pBnd+0Abaq94mh9Yyue079/f+u2wV3o8aqpqcGUtxYK2q3lP+QKmJQuoF2E3tSoeOGqL03T2LZtm/XctphE3iNXTy98//33SEmpW81YS8gxAER3qZ3iLACMnv2KaPuIYH/EBvjXaU4WXryYiZnnGe9WvyP80gSL0lhvYZxb7cSIbjVyTxeo2/sj8OkEKMPY/FBjhc4aYlu+O1O0BI09XNuz7y9tR7n4ViKXiz98fv/997dsDhYxs9qgUrEed4sC8bFjxwDAaU8sgXCnIJU76ghuWRhbvF2VPK+rhnNPG5/Ir5vq4kAMj0AgEAgM5G5ZR3at/AYnt/7V2NPgEZR1CUOHDrXuyzVVcAkWrtQa3DwEwj5pp5iH2qq4RFS1jnf6mqmprAEmpjKrE/Ewnz17FhkZGdi0aZO1zVENy+iuPUTbR856EQOmPcpra929l+hYC1UlxaLto559ETuKHOe/3izhKiV29WgDL4UMy9rXvoberYCSUQiY3h6qSC9QMvbvmvPeEVQezIapWo/yf9KR99lJ0ePDF/SFe29hPrRHP/aBzaQTX9yxlEQSY9KkSc6+BKdxc3ND165dRfuysrLq/Xr1SYsWLUTbr14VV1YmEO4k+i7ciajXtmDy1wdx9xf7JMeN6ihdW1ous2/Udo/yg587oyj/R/INyXExQY5F4AgEAoFAjNNawzWEuLUyG5O5c+fC4+Ipq1rtK68wnkGTiwpFfkLjdOXKlZAp+IIyPSdNqdO1169fb91Wi+Suam3Cb2lKJqo2qtfrBW1cxs6ZJ9ru6uGJ7uP4+aWJI4RKwVy4qr5cbBV+pXJEdTfpMfdSyCGnKFzqH48Jwb43da5bhVs3tuxP1dFclP8nHfLqPSYalEIGnzHRULdjQ9u8x0aDoih4j2EUoGkJ9V+uSNBDDz3E64uPd37hxFlkMhnGjh0r2rd8+XLR9saAG4XQujVTH/ixxx5DUlKStf2+++4DAKSnpyMzM/OWzo9AaGrcMJeBOX69RNA3LoH9bXysnzB1Yc6wOBx9faig3RaVQmb1mF7MlRbGmzeqrcNzEQgEAoEYp7WmA6eESvK/m1FdVorFU8agOFt6xbSh8fT0BMURaFr6KPOAavTwkTxm3JzXYFS7IWYwU4pG50ROn5gBGRbG/sCLKZ3a1mSc/NYHoucWCwnmoqiFOmtI6zi7/ZEi4ckzvl4laLuh1SFm72l8lMZfhNiQJ3zQccSH19hzfBAXUevjGxu5F1tr1pBXjcoD2YIx4Qv6IiypNzzN3lFKLoPmAuultvgfKCVz2zGUCMsBGQx80RJuTnWHDh2cni9N0zBpDI4H3kZwvaEWI9Q2WsHTkwkxPH36NFasWHHrJkcg3GZM7srehxUi3tHZw2IR5OU4/UKtlENrYBaOOrf0AQC8OlJoiLYKcK/jTAkEAuHOghintUTtzg/N+eszJn/zhzmMemxJbjYyz50WHNeQcJWDywvy4UxmTVRiV1S3ao/k3EJs2rQJfhEtQEuICHl5MQq/FlGaoKAg+PoyHj9/f36OZlFREW/fKpJkMoHSaZGeI67S+umnn4q2c5HJ+aHIHQayq9qPLF6KbmMn4e5n50JlRyQKAMLimAeHgQ89jsGPPIU5a/6Ah58w1/RUeTWqjCYsTucLGYWp+Ibytx2isNROeO78S1n49Dp7jh7et99DitcQofIkF5cWnqAUMsjU/L+Ra0Kgdbv0r2vM/5sYZePC7/i1TwHhIoVCocD999+PhIQETJ482en5Vu67geykQzCW2RfO4s1Vok6oRbyovjhzRvi6HZGens4TTXJxcREdR2qdEgjOoZCzv5RVElEczlBYqYXRRKO4ik1hGdaOKT8zY2C0tU1lR9mXQCAQCCzkbllLZDbiKW7ebFhmZXERvp/9FH5553Vr2/qk17D580UNNp8zO7dh82cfWve/e/Yx0XHjx4/H66+/LtqXkpKC8A4JGDX7VUHfAw88YPWObt68GZmZmcjPz0dJCeM9PHfuHG/8l19+yQszPHXKrA4sk4F2UWH3Xum8H0c8sOBj3v7wp56zbvtHtMTABx/jqQNLIVcoMXf9ZnQbMxFdRo3j/U19FOy2RdgI4OfEKm28Vb193DEp2BetXIUGg5GmseIGv4ZqXYU5GhPKwYOVlJfSZ1wMew6z4eo1TNrQ5dYcBRgjrE2bNpg4caJoTrMUNReYRRJ9oX2PPJc5c+YAAPz8+CqbtnO6GYxGoyCsvVu3bgCEUQZcVq5c6dT5beden2iulEJztbTBzk+wD0VRLSiK2kVR1HmKos5RFDXb3J5EUdQNiqKSzf/u5hwzj6KoKxRFXaQo6i5O+0hz2xWKol5rjNfTWEQHuMNFLkOHMFYwMKGF/XJZ9lh3jAmf/2bvVWu5Gjdz+ZkJHFEklaJ2CvIEAoFwpyItQ0dwikuHGGOrXf/B+O/7Zdb2/PRrCIxshawLZwEAYyQUYm+Wbd984dS4+Ph4SVVSgDE8ExMTBe0eHh7Wh/PLly/j8uXLvH4xNd6GIji6NZ786ntUFBchsGWkQNSpPpgTFYy3rghDVr/OLMAzLZnVcI1NLqrarJSaVsOunAe5KJCvM6DGyH9/BvjevqIYwS90kRRAMtWIG6dydyUCn0lAwdIUhL7OiFr9v707D5OiOtcA/p7unn1lYICBAYZ9lX0VEHADIYIYFDQXtxgjKhGXRJIgTsxVIUZMjMYVo+KCG0SvBkUJLogiiIDsu8DIOsMsMPv0uX9UdXdVV/W+zvD+nmeeqT5VXXW6pqerT51zvi99ZFuUf2o+Z9U9am2wPYHCERnTw7xhM4mJic4bK/v27cOSJUsAwHkjJhzMhsY7cp6+9957mD7d99zvUaNGeVzniNobCadeUHp8sy/vhPSRbX1sTRFQD+AeKeVGIUQGgO+EEI65FI9LKXV374QQvQDMANAbQBsAnwohHHMengJwCYAjANYLId6XUm6PyquIkroG82vTyzcNRbsc/eiajGTXaJjL+rRG11ae8566S0u04mxtA+obpLMHNjVBudb2zHPlFU9KYF8AEZE/+GkZhHve/MBQtuPL1SgucgUgWXLfb7Dkd7MN28WKo2E6dOhQ08BFZ86cweuvv64rmzlzJtq0aWMISgMAaWneh6auXbvWkKvSG2/5WrUyc1uibfeeSEzxb/tA/bpdSywf0MVQ/uA+V4O10u1LT4Z6R/z6NsrQ4JvatsAVLZUe9WcPn9Rt+0If7zlDw6WmpkbXEGpoaDDcSNi1axdKS0v93mdC6zQktjf/0pbav6XH5yW1z0T+gtGwOPIFevnUcUSfnTlzJubPn+9x+Kov9rPKa5cBNE61WrVyBYBatWpVUPsw49447dixo7NBaZZO5vDhw4Z8q4HMvdX+fSsqKsKSL9YxPJuiS0p5VEq5UV2uALADgLe7BFMALJVS1kgpDwDYC2Co+rNXSrlfSlkLYKm6bZNyosI4pP9Xozsiv5n3G15P/88g3H2J97gFWtedXwBAmbf6+W7l8z7FJDcqU8kQEfmHn5ZB6jx4mKHs9E/6tBMnDx10LtfVeB6yF03JycmoqakxpG5paGhwDgmcNGkSCgsL0bmzMiSzbVvX9x9HI/Kee+7RPd/9C/PKlSuxbNky5+MLLrjAUBdHg9lms5n22vqjqqrKZ6TfQLVN8h586UyDcnf8rX6d8WKfAmf5wu7t8J+BXfFwt3z8WK18MXr0oGuO7fTWOciM0tCuRx55BH/5izKc/OzZs/jzn/+MBx980Ln+wIEDeOONN/C3v/0toP22vK0/2v75fF1Z6uBWyJpQ4Pc+RILrHLi/Dx1/y/T09JB6AeuOKr2Rxf/a5mNLc+np6fj5z3/ue8MAuQd8mjlzJhLUYF/u87UBYPHixYZ8q7YARgw8++yzAIBjx47hsccew6OPPhpolQEAZ76Jj8jkpBBCFAAYAGCdWnSHEGKLEOJFIYRjrklbANqQzUfUMk/lTUpdvf5mXGqiFX+c1Cug6QH+uHWMcp189ov9zsap2fxSi4+UNEREpGDjNEj7NqzzvZHG6peei1BNzHXKb4sePXpgxIgRmDjROQUJSUlJkFKirKxMt31RURFKSpTIqr7SdeTn5xsaDldddZXX57Rsqe9ZmzBhAm699VZcccUVSEhIwNq1a/HGG2/4fF3uFi5ciIceeijg53nTPiXJudw33XiX3dFz2is9BRNzs3XrBqrBjvqmG3t2H+0enSi9DWrj2dHQO37cFYypoqICAHQ9aGa5aL3RNi7bPjwKOdO6+ZyTqnu+5ktaw2l974ajLsH2mIaT4+ZMuJw9exZPP/20rsxisej+Nxx/u3BxBJh65hllyoGvfMKelP57r6Es2F5pCo0QIh3AuwDmSCnLATwNoDOA/gCOAngsTMe5RQixQQixQZveKV4VzP0QFz72mfNxvTpSpE1WMjq1SMOm+Zd6ff6ssZ3x5LXGSO6+pCcZbxZpG8CPXdUPo7q0CHi/RETnKjZOo8Qx9zRaZv7yZsyYMQPjx4/H0KFDneWOIb3r1nluXCeYpG0ZO3YsAKVRk5SUZFjvi/uX7uHDhyM3Nxf9+/d3foHetWuXs/HkS3l5uS7wUqSMyTEOY3U0TlO9DNO6s0Mr3eP+GalIjOB8QK3Vq1c7l3fs2IFXXnnF+fixxx5DYWEhVq5cqdvmwIEDAR2jxU19kNo/V9fQDIa0S1TvOQ2pnlNfjVN7bYPPBlbR/LUh1cnBfai53W4PqZd+06ZNpjcChg8f7lz250aL2bB8rUsuuSTwygWocvNJFP1hDWp/Cm8kY/JOCJEApWH6mpRyGQBIKY9LKRuklHYAz0MZtgsARQDaaZ6er5Z5KteRUj4npRwspRycm5vrvjou7T951rl8+LRyXbnvsh74771jkejjBtp9E3rgZ32NecF9sfr4DPz5oHy8erNxpBUREZlj4zRIed08J9T+2Rxj8MPTR41BdkLlKbfq5Hv/6HHokqPh+fXXX3vcr9lwSm06DW2+Ra1JkyYhOzvb9JjnnXeeIe2MmWPHzFPNuFu0aJHu8e7du/16nr/S1IZnvZTom5GC5gmuu+Nn1YZUipcvJe5584ZlRy99zM6dO53Lb775puk22p7z5cuX4+WXX8bRo0f9DnCV3K0ZcmYEn1Q+c3wBAODs1z/h1OKt+Gjxv7F+/XqsWLECgHnj1F5Zh5/mr0XR79fg+N+VwEzSLg2NVVmrvxFycnHgqVvc7d69Gw8++CAeeughr72b33//PdauXYu9e409je5uueUWAPr/N1/n/4477nDmMvVkxIgRXtcH2nt6ZK4xwnbJG8p7rIbRe6NGKB/qiwHskFIu0pTnaTabCsBxJ/R9ADOEEElCiI4AugL4FsB6AF2FEB2FEIlQgia9H43XEE03/ms9AOCFLwO78UZERLHFxmmQRk03Bgly6D5iFH7z8jsRr8OhrZt1j/9nwd9x1f0PoesQz19O3SP23nSTeeoZd2a9qe6GDBmCOXPmGMrvuusuWCwWzJ49G2PHjsWvfvUrj/sINjqrY0hyuPyuY2sASuO0X0YqNCnx8Dc1Z2kgc5fcAyNFit1ud+alDdSzzz6rm5caSUkFSh3t1Q2oRT3W/bQFH374oXO92bzKhjOuXkvHnNKiP6xByeuuxnhDuTEISs2eUjRUBDZ02d0HH7iCoNXUmOdOtdvteO+997By5Uq8+uqrhqHzWnl5ec4UTWZOnjyJJ5980lDeooXv4YG+5uqGMnQ4c7w+n2/Zh8oX/zPrjuLUku2oL/Y/dQ8FbCSAmQAudEsb8xchxA9CiC0AxgG4CwCklNsAvAVgO4CPANyu9rDWA7gDwMdQgiq9pW7bJJ2XH3yaGCIiij6mkglS83wlV2Obbj0xasZMtOneExv+bznq1WF/CW5D78wCKIUqq6UydHTY1KvRe8xFaJbnO6aF+5d+f+f29ezZ02tvqzfa4ZGO4cGeBDts0p8v7YGwqQ3PeqncwTlRW4+TtXXITfTdSHcY0ywDn59Whin/vmOej61Ds3v3bnz55Zfo27cv9u+P/2iqQk2rULW9GO8kfWNc79bwrzt+FpXf66PZHpn3lbKPH1x5ZGt/Ogszp5ftQYvr/Y9y6668vNy5/O6772LYsGHo1k0f0dOREsbhzJkzyMpyfTHWvrd9zdF+6qmngq4roARaWrJkCSwWi6ExWl9fH1BQJa3aw8ZhvPWl1ShdrvQUH9tWjPwFo4PaN3knpVwDwOyO2H+8POchAIax4lLK/3h7XlNw50Vd8fdVe3Df+OBHeATj89+OjerxiIiaGvacBiktuxnuefMDXPPnR9Gud19YbQkYNvVqjLz6F6bbH92zK6zHLz1+DMseeQAAICwWvxqmQPCN0/bt2zuXO3RQek8cDQhvX3Tz8nw3yu666y7nsmP+qTfahoKDexTUULkapxIv/6REUT3vK6VzIcvPiLvnZ7tymrZIjOx9oNdffx2HDx/W9T7GM0fjtLqqCpXCvCdS6/jjG1HxmT4aNtyicVZuPoGGUvN9Ve8oQfXewPOVzpo1y1C2b98+vP7663APEuPeU/r888/rHn/22WcBH1/rwgsv9Hvbzp07o3///rDb7c5Gs+MGjr/zugGgvkx/PlP7GeceFr+6w+/9EUVCreazwDFs/ev9yud2RnJ078G3yvQ+J5yIiLxj4zSCLvjFjRh/650AgMqy0rDue/FvbnYuJyb7PxTWvSFpsVj8akBqOXpibrrpJlgsFtx6662m2xUWFuLXv/61z/1lZWXh5puV1+NPblT3+aZA+BunCZrGaQvNfNPTdfXolJKEoVm+55B+WuxqRG87E7nhjoE0Nvxx+nTgjbhAOSL+/ifxe5/b2qt9/22r95xGyRu7dFFl2zyoT3lz6oXAg5K5R5nWeuqpp/Dpp58CUFLzvPDCC37v133o9aRJk7web/r06abpmLzZtGmTs56AK5DSU089pZuX7I22VxoAUs4zjlCoO6LvTZUNvuctFz2wFqff8z0vl8gfVXWu0QE1akP12wPKVI9opHDp2tJ1IzI5ITrpwoiImio2TiNoyOSfo884feTMmspKbP3s06BTOpjpP36S39u6z0dLSUnBxRdf7Hw8efJkj88dP348AKBr164AgHbt2mH+/PmGIbXTp0/H1Vdf7XedADgDKRUUFJiul1Ji69ateOmll5xlffr0wZ13Ko3/d955x9BTFYorWjXD1JbZmNsxD18P7+ksL69vwPcVlfi2zHz4qNb0vBznsi3MufW0/Im0O2XKFL9vQpw4ccL3RiFy9JwWW4wN64EDB+oe/1Toezj5qcX6hmfGuHawJBq/JAaa/sTXvOI1a9YAAF5++WWv22mH1t50003Om0Q1+8twZt1RDBkyBD169DC90dClSxf07NnTUO7LoEGDlGOoc2SPHHH1PC9dutTrc+vLanBk7pco+8A1RDzrsgK/ojMX/fErn9vImgac/VrJnVq++hCOLdrg8zlEnox//Avn8pka5WbW1YPz0TIj8MjywRjdtXFEMyYiagzYOI2yF+fcgo+f/huKdm0P6vnH9+/FY9N/piuzJfifE/LwYVfu9Tlz5iApKUmXz1E7R87diBEjcPPNN2P0aO9zynr27IlevXr5XSfA1aO7Z88ewzopJTZs2IB33nkHBw8edJYPHDhQ1xNcVFSEQ4cOBZwWxUyq1YKnexegVVICMjTDeP9ywL9owgAwvoWrd2xUs3QvW4bGn8BMAwYMcPZi+4r26m/E3lA4GqdmHI2qUGReogw9t2brv5w6AikFItj5mVra1E3aIfInn9vinK+5c+dOVFVV6RqRANC6deugjnneeefpHgcSKKt6pz7AWPaUzsgYo2QfyV8wGq3nDkFKb8/Rt088sxn1pdXm+96t75kv//hH1J+owpG5X6LmUDmq95Wi9nB4RwNQ03as3PVeO6s2Tt/acAQnKnxPGQiHLi0j9/lORHSuYeM0CnqOGgsA+OK1fzmH95469GNQ+1paeJ+hTASQP1PbEDVL+6JdbyY/P99nNNBgOKIB79u3z5AL8o033jCdS9mpUydDFOEXX3wRL7/8snM+4LvvvhvWfKjvHvd/yGtuYgJy1CFel7aIXcTIPn36OJcLCwtxzz334JJLLsH1118f8WNXVVXpbig4iAQLXkhepStraVcaT77yePrD0cPX6jcDdOUn/uF7GLG73/3ud8jOzsYf/vAH3HDDDbp1559/vmH77t27o2PHjmjXzpVKUptX1kzlJldv9Y8/BvfZ4M79/8jbqAiHI3O/xJF5X6HUbchtcrdmuscnKktwuPSo52MfLMexBetN15160dXLXfH5Yd26k//cjFPP/4ATT23yWVciM98fKnX2nkbLpb1b+d6IiIj8wsZpFOxY8xkAYP377zrLVi3+Z1D7siWGNkzJkWt04sSJuvJ7770Xv//970Padyi0KW60w3OllF5zmHrq1XLMs/vhByXHpaM3tba21hBV1R8XBNnzuXVkH/w0tl9Qz/WXo+d0+vTpzjJtL5lZo2TkyJG6IdSFhYXO4D/h7DlduHAhXnrpJUMD9cCP+sc3V1+EybVDcH31WF0+XNlgPgw3bbh/Q5QtqQloM394QHV2l5iYiDlz5iAxMRHt27fH4MGDneuSkpIMjcBJkyYhKSnJOZxWOx/60ksvNT1GyVJXwLStW/VDlJs1a+a+uV/c5w776gGu3qNuX28H3N4Cwm2I9HPPPYd/F+vzn7acrb8R4I+yFQcDfg6Rw4aDJSiYq79x+dt3NqPPAx9HtR7RDrpERNSUsXEaQ3U15sPevGnZoUD3ePysOQE932azobCwEEOHDtWVp6enIykpOvNzfNFGQf3222+9buvtC7c2qq+jofDcc8/h0UcfDbhOf+qij4b81TD/0hNYhIAlgvNNAeCbb5RULNrhn9oos54iMgshMG/ePMybNw+Aq/c62HQ+7pYtW+Zc/vzzz3Xr3nnHPA9wAvSNIFlrzMmZNiIPza7oguwruvhVD0tqAkSSa7/ORlgQLBYLJkyY4Hy8Zs0anDnjCgj0m9/8BpmZmbrG6WOPPeZcb9bT6uC4yXD0qNIj2a1bN1x33XWGObj+cn+edsSD9gaAQ9l/XMPhv7PtxwvJq1AizqAeDVj+0fsoLS01POeYcJ3LxLbpOGupwQvJq/CTRSmv3luKis+VYcoVa4pQvc+4D09kfeSHl1PjNu0Z43z0Og83tCIpSZ36MXWAf1HziYjIMzZOo2DmwidMyz98IvBG0qGt+mi2fcZe7GHLxks7J3LFihWm2+Tk5JiWa2mj+jq++J86pUQfLSoqCqhOqVb9v0rn1PhJF+CYo2i1Wp094P4OjbXZbM4GvuN3KJGPi4uLUVNTg23btukiL2vnAdfU1KCystL5eNq0abDmuOpb9olrWKvdrXHaZv5wNJuiNErThvk/FzNrYkdXHV8Jbr63g/aGSF1dnbPR1759e+f7MiEhAWVlZdi/f79f6ZEA4LbbbtM93r17Nzp16uTXnGIzCQkJuhES+fn5uPHGGz1ub690/d2/tyl/r2VJ67DPehxbt201HZr8QdJGWHOSkdQ1GwDwRqISIOo/iRshkq049cIPKFtxwBlc6dTzP/hd//JPwjO8mc5dA9tnR+1Y2x8cj79eFdlRMkRE54KIN06FEBOEELuEEHuFEHMjfbx41LKgk2n5vg3rTMs9cY/we92jTwZdp3g0ZswYAPo5ku5mzpyJfv36BTxf0m636/JQBhrZN90aX+kB7HY73n77bV3U1bS0NGcPeDANmlAbp2VlZfjHP/6BRx55BG+//bZhvaMR/cEHH+jK+/Tpg7zfDXE+rlh1CPWnlVEF5StcjdqsSR1hSXXNMRZCIHuqf72naUNcDVlZF3qP3LBhw5zLjki82kBOGzYo0WdfeeUVj/uw1+gb3ikp/qeE8pd2DrnFYkGHDh3Qp08fFBcXO8ullKgvrkLDmVqzXWBXotKTu337drzzzjuGOdx5vxuC3F8qwZes0nVJkdXGXu9AnFnnf/AxIjMbD5VG7VipiTZYo5C2hoioqYto41QIYQXwFIDLAPQCcI0QIrAwrk1E8/z2vjfy4fh+fZCS3PYFIe8znowbNw5JSUloaGhAfX29ab7Nzp07Y+rUqV6jCps5c+YMHn/8cV2Zvz1aAJBuc/2r5MRBHrvnnnsO27Zt0+WrtLo1oO+7776A5hGHOqzXbNin1urVq1FRUeGcBwzAY/2OLVwPe1U9qvcpNxTShrRGxuh8w3bpw/LQ8vb+yLmmBzIubAdLmg1Zl3U0bCcsApYM/6Na+3LZZZc5lx3Det3Pv7t+/fS9Kj89sFb3uPR/Aw/W5Evz5s0xYMAAZx5VwDWndceOHQCAs98ew/LHX8NRuxKhd49FH+johCw1PFdr0aJF2L5d6Y3u3eAKArXeFloe09ybPd+kInI3obdxJMWDU3rHoCZERBSKSPecDgWwV0q5X0pZC2ApgCkRPmZcKuhnnDeWkBxYT8mur10BSH715Ish1ykeJScno6amBkuWLMHf//533bqOHY2NDgC6OYCAec+rWbTfhQsXmu5v5cqVWLRoEQoLC529rUma+XrDsmKfNuDYMd+9SikpKQHNI3Y0rlatWuVjS3Pbtm3zur6yshLPPvusrsxb/UqW7oS9Smkoi1TPc4sT22UgtV8usi4tQJv7RyBjjLERC7gi99papXqtp78cN0gcPcHa4b7jxo0zbH/FFVf43Gf7DFegJ085fwM1ZcoUDBmi9Exr87w6/l6nl+/BNtsRfJi0EQBw2Fps3IkX5eXl+OijjwAAdR1cNwA2236EhMTKhM04A/38+qzL9aNJcn6hz+Oav2A0EvO9pzwi0rp9nHEUxfmdPac7IiKi+BTpxmlbANpcAUfUsnNOt+EjdY/b9uiN1p27BrQPe4NrmFxmbsuw1CvelJWVYfPmzbp0GmlpaSgsLPQ4lHf48OEoLCzEjBkzkJubiyuvvDLo4+/cuRNr1651BlNy720FgBWnygxlTUEwKYLsdjvsdjt2797tM3jV0aNHdcGDfKk7VQXUK42phNZpAdfNnTUjEQlt0mBrZpyPa69pCDi3Ztu2ykeZI4CXtud05Ej9//uwYcP8Gmo9tZtrDrk2+nIg3If/a1VtOYlMu3JTbOvWrThy8DDKhWsEwRbrj9hvPR7wMR1ziHcU6fMUL0/8Foesp7A0+StdeVKBfuRD6nkt0OZPnoNFEXnz2/HdkZpkHLng5V+BiIjiVMzjnwshbgFwC6BPTt/U5HXprntctNN7L5Mp9Up78z8Wh6NKjYa/qV969OiBHj3Mo+jabDbTuZQNDQ26RoVZD6uUEkIIXNAsHV+cPoOxzeKvR8cxXzfaHnzwQa/r8/LynNFnU1NTdYGQ3LW8vb8uv2VDsau3LbV/bmgVVYkkq2GuJwCUvL4D1btOo82fzofF5EuumXHjxjmHswL6nlObzYaOHTs6A0FphwF7rZ9FhJSXt2p7MYpf2Y7UQa2Qc1U3w/qSpbvQ05qPdRalEbnyk5UoSdREx07wPhRXCGHa+K2vr8fhw4cN5SUW182I9xLX46SlHNdUj0RC61Tk3toXDadr0HBW6R23JFnR6u5BsGaGb/g1NW192mYiPclm2msKAJ1zYz/KhYiIAhPpntMiAO00j/PVMicp5XNSysFSysG5ueH5AhqPhIdeqYqSU37vY+OK9wEASWmh9yKdK8aPHw/Ac5AfbUAhAKioMPaeOZ77aHflrXx3QWwTrpeUlBjKunTxLzCQvzZv3mxafuTIERQWFmL79u3OVCne9OrVC/fddx8AGBqmDzzwgO5xQhvPXySDjVjrrvZAOWoPGHu+q3cp85sbTvuf3kkbVRoATpw4oXv8i1/8Ah06dMB1111neK52eG3z61zT8LURcwMl6+zOSMSV35n3fib3bo6WdlcO3ENFh3FG+P+avfXKLl7s/abZSYsyGuGN5K8grBYkFWQhdUBLZIxyDaZJaJkKC3NGkp+qahvQPM04NSDRakHf/CxYGKCIiKjRiXTjdD2ArkKIjkKIRAAzALwf4WPGreFXKsP0ps51fSkvPnwo4P0kBjhXtbG79tprg36uez5XAJg9e7Zzec+ePSgsLHRGXDXjSDvTISUJx8b1x9Ds2N2NLykpwRNPGFMTaSMRh8Py5cudaXccysvL8cILLwAA3nrrLTzyyCPOddrG4/3334+ePZU5hEOGDDGNQjtr1ixDg1NYBfIXjAaskf9CWbnlpGn52Y3+D2l1z7HbrVs3w/obb7wRnToZo3WXvLnLuZzc05UWyVOj0h9HH13vc5vEdhnIlZk+t/PH2LFjw7IfomBV1TYgJdE40uHjuy7A+3eMikGNiIgoVBFtnEop6wHcAeBjADsAvCWlDGI8a9MwcvpMzHltOToNcKXNePfh+X4/P7+nEujHEmdpTcJp4EBj4CizL/f+co+gOnz4cNMcoI6ALmbcewiXLl2KwsJC2O2hpyQJlKdGaHZ2dlj2f8kllziXn3xSn6rI2/BqbY+a1WrF9OnTUVhY6DHfaqtWnnuf8x+K/JfK8o8Pmpbbmvt/48f9veVvblkpJao2uxrHQgi0/d+RXp4ByLoGHJn7JY4+Yj6vt3pvKezl5qlgtMo/OgiLnx/7jrnbkyZNwqxZs3TrLrnkEuTl5Zk9TXfzx8yIESP8Oj6RL1V1DUgxiZ6enMAU7kREjVXEP8GllP+RUnaTUnaWUj4U6ePFO6tNSdcx+e4/BPzc5PSMsKSkiWfa/JEO7j1U/pg8ebIu76TD6NGjTRsR69evd6bWcEhTh0+7H9+RvuXTTz8NuF6hcgRqcucIzhOqTz75xLS8sLDQEGnXjHu6lGBlTXJFZk7p2yIs+9SqL9YPZbXmKO+J0uV7UV/me7gyoDQqtT3z/kZGrtxg0juq6S02GzpbdL+SdqahrAYVnxvndlZv9x1ht3LTCZ/baPXt2xeFhYUYMmSI4bWNHDkS1dXG4cAJCQlo3tx7hNSvv/7ar2jTRL5U1jYg1aTnNNnWdG/gEhE1dby9GCNJaYEPDa2vq0VCAKlBGiP3ecdmjVV/DBw4EJdffjkAONNoAEqD02q14v7779dtP3bsWLz55pu6MscX8iVLlpgeo1mzZkHVLRTLly93Lnfv7gqyFa45mYGknjHjKV2Ktq7+qDnoaoQ3v7anly0D0/JOY8+8u2OPfAtZ71+v+MSJE53L/kY7rtrhmjPc9s9KhFrt309WeZ93WrbioKGsvtTYoK4vVRqPVTtLUPNjOUqW7jJs4y9HDlzAVdf0dONnmCNHrq/eUV+RnYl8abBL1NTbkWzSc2oWuZeIiBoHNk5jpG0PVxCUmkr/otHW19bAlti0G6faL/gZGRl+Rzn15siRI4Yy9yGZW7ZsMWyTmemamyelNKRBycnJcX9KSNatW4fCwkKvEW21ZsyYEdbjA0oQH3f+BD5y8NRI9hSQypOU3krvW0qYovQ6JOaZBxNrKNH3AhbN+woNFb6HyQJKr3IgEXa1vZzC5It1gx/Dc+21DajaXuwMrCSrjef32IL1qC+rQfFL23DyaX2Aq+k156NDg+dze/PNN+seO0YP2Gw2ZyCrTp06oW/fvqbPv+iii5zLM2fOxFVXXaVbv3HjRo/HJvJHdZ0SJ0Dbc3rD+QUAgCT2nBIRNVpsnMaI1WZDi3YdAABP3uhfPsP62lrYEs+dNAt33XVXWPbjqdfu4otdOSW1EXCHDx+Ou+66S5ee5YsvvsBf//pXXSOkuNj3UMpArFixAgCwa5fvHq4JEyaErbdUy2zu6oYNGwxlBQUFmDp1KgBlTmJKSorXvJza/ToiKHuT2jcX6ee3QfblnX1XOkjeIs8CQINJb2Sw7DX1ODL3S1Rt8/yeEYnKx3HFl0W6aL5mfpq/FsWvbEfZR0qqGkc6FnfHPMxRzZApkLmu3tDBgwfr3tv5+fm67RMTE9G3b1/MnDnTVV8hcOWVV5qmb7LZbJg2bRqGDBmCzp07o3fv3iGlyCFyV1mrNE61AZEeuLwX9j880dNTiIioEWDM/hg6dfjHgLY/tnd3hGoSn/wdJulLly5d8Nlnn+G8887TlY8cORJ2ux3//e9/deXjx4+HEAJZWVnOstWrVxv2G6mASP40eh3zaa+66ipDSpNQZGZm4r777sPHH3+MTZs2mfYYz5s3DzabDVJKpKSkoEuXLrqh02YmTJiALl26OKP4+iJsFmRPjkzD1JKeAPuZOhT9fg2a/bwrUgd7CM4UxjQUdUeV0RHFS7Z73CZneg8UL9mOyu+OI6V3c6T0UnqPa48Y0xs5nPmiCCm9W6D+uNLbnjasNRLy0lH6b+/5SvMXjEb3ryw49MlPAFx5cnNzc03f146GqJlLL73UOQ/7zjvvdJb36dMHffr08VgH9xzDRIGoUhunFs1NOiEEInDPjoiIoog9p3Ho4OaN2PKp5+ixTd3s2bM9fhEORn5+Pq666irnHFQHIQQuuOACw/b+9kh6i/AbCrM8pu4ccwB79+6N9u3DGyQrJSXFGdSmrq7O0Ph1DPEUQqBbt25+3URISEjwu2EaaSl9XAGWTr+7B2e++sl0O9kQvpsPwmo8RznX6Hv0HT2nAHRzXss/9Z5uSjdk1yJga+Z96H9yd2WudIsWrvPg+BvffvvtPqPtukvUjObwNQ/7D39wBYI7ffo0pJQoLCzEmjVrAjom0WvfKjd3V2w9GuOaEBFROLFxGkOjrrnetPzdh+fjk+f1aTzqapQ5cYN+NjXi9Yq15s2be5zLFqzevXvrvkR74q2nJ1pOnjTPwfnNN99ErQ6OnrDjx49j5cqVznJtYJzG6uw3+i+zZR/sBwSQMa6drlxWe859Gyi7yZzQ1H4t9QXakbyaYb31p6qcy7m3eY+GnD6yLZI6Z3vdpvn/KPPdw9VrmZqaCgCmN3rcaf8H7Xa7M4BSLCJfU+P2yXYl6nVaIgeAERE1JWycxtDQKdOcy2UnvKdWeOI6ZdtdX38Z0Tqd68LdCxmMeGic1tYqQXkWL16sK7/22mujVodIyRzfwVgoAZFgQepAV4Px1Itbw3bMkrf0Q/LThrY2bFN3XBMIS9NQ1TZOreneb7DYmidD2CxodbcxjRIAZFzYDkLNARlMiiYzFosFhYWFuPDCC/3avqCgAIDyHgsk2BaRQ019A/afVIbKzxobuXnpREQUfWycxpAQAj1GKnO9Xph9M8pPnsDat19zrq+vNUbtrPaQ55KCN3r0aOdyq1b6+YdmQ3y1uS3DxZ/5q6WlpQCAadOmed8wDMyGVc+ZMwcdO3Y02bpxyRxnfgNCJERmnqu9qh52t8i/SV2Nw19TznPlBzUL1tTmgRGwpHvvuXa8Xy3J5g1PYXN95Dt6Mbt27ep1n+E2duxYAErjdO3atVE9NjUNdQ2u/4/MlMY/moOIiFzYOI2xs6Wnncsv3XMbvn7nDefjLauUOY32BtfwwrQwpy8hfdoL9/Qw2uikDtrIs1u2bEFVVZWuMRFMj5B7upuioiKP27Zt2zagfQfDLN+pWSTfpkTYLB4bdaGoO2lMDWQxycNozXD1iso6480KS4oNlkQrEvJ950i2pLj2r91eGy04Ly8P48eP95ibNlIc762amhp8/fXXUT02NQ0NmsZposl8biIiarz4qR5jNWddOU4d80odVr/0HKTdji9e+5ez7MZFz0StbucSxxBH9+A/7j2F06ZNw7Bhw5yPly1bhoULF+oCujz88MN45JFHcPz4cdNj1dbWYvdu1zDPNWvW4MUXX9Rt8/zzz2Pfvn26MseX+nBG5/XEfT7i7bffHvFjRpNZhF7HcFcte23o807Net9FsrFxqg2aJGtdjVNr82RdvteEVkqu1owL9XNkdWwWJHXKQtbPOiH3Jtc86vThebp6jRgxAmlp5rlfIyU5ORkAUF1drUtZ4yu1D5FDVZ3r/zLRxq8xRERNCSMJxFhtlbFXRWvRNZOdy+ddNB7WMM0TI727777bGZxFS9uwGDNmjMeASatWrdINDwaAV199Fffcc49h24cfftivOpWVlekeO3pjwzVX0Jv0dH3vnK8orI1NzrRuqNygv3lQX6zcHMr6WSclSBKAyu+OI31Em5COZZaD1KznVKtmfykyRis95LKqXteja81QhjEm5meg2bRuOP2OMcWUEAK5tyhBxXS9sHHQ/nM0Ts+ePasbMbB7926POYmpaSmtrMW8f2/F49P7IyGIns/X17nSsAXzfCIiil/8VI+xqXMf8HvbNl2Nye4pPFJTU3V5TbVmzZqFdu3aYfjw4c4yf6L6VlR4zk/pD21jOVI5VT2xWq24//770bJlS4wbNy4qDeJo0/ZGAkDF6sMAgIxRrmHTtYdD+xsCQMkbOw1lwkPjtNnV3QAA1TuUdEJSStirG2DR9LRmXtQB2Vd2QXKPHKR5ytGqPZamR7ihPPYBiBwjANwj9DKdzLnj1le/wwdbjmLa04HPOd50uBRP/NeVxzc1kblyiYiaEjZOYyynTb7vjVRFu7ZHsCbkSatWrfDLX/4SKSkpzrJ27YxDKu12O44d00ddDmWo4ooVK5zLtSbBsSLNarXitttuw5gxY6J+7GhoPqMH8heMRkJrJRVK2jBjBF1rlvecof6QNcahwZYk88Z+2kBXY7Nmf5nS62mXEJqeU5FgQfrQPAiLf/l4tazZob+eUHnKi3v48OEo14RiZftPSmC/zUfKTNcfL69GaaX5Z94VT33lXB7bPRfJCWycEhE1JWycxoFpf/xfv7arKD4V4ZqQv8yGudbU1OD555/XlZ0+fdqwnTczZsxwLmsDEJkNOabwaDl7ILKndkH25C7Osrx5yrxiq4/ouP5I7qkE2dLmKBV+9PZU7z2NmgPKl3eLyRxVh3R1+G+bB8/3uE2LG3sDAJI6mo8OIIqmVpnJXtcPe3gVhj68CmWVdThc4nnqy7xJPcNdNSIiijE2TuNAbbXx4tumey9DWUG/gdGoDvmhU6dO6NVL/zfatWsXGhr0vWTbtm3TPXZfr3XPPffoekhLS0vx3nvvoa6uDvX19QCASZMmhVp1ciOsAunD8iCsrp5IS4rSU2mvqg95/7aWqUqAovaZumP6UvHfwyj+l/L+qd5d6nG77EmdkL9gNCxeGrzJ3XOQv2A0bM1TPG4TTZMnTzYtZ1Ckc0N5teebbSVnlc/A2no7Llr0OUb/ZTXsdon/7jyOgrkf6rZNsrHXlIioqWHjNA4kJOnvIk+d+wBm/GmhruySW+7AwInmX+go+mw2G66++mpd2b///W/DdqtWrfL62KFTp07IyMhAixYtdOXff/89Vq9e7ew51Q4tpsgRVgtgE7CbpHQJWJ1dl1/U19DaVnOMN6HsVU2r51wbBduRbxVQgiRR03fcy9zng8Wu98CpM8p2d765CTe9tMGwbYv02A9TJyKi8GLjNA607+Ma7td7zMXoNGCILkrslN/ej74XTYDFwrvEjVltbS3WrnUFANE2bq+77joAxjyrgPKF3dFz2hQDE8UrYbXAfsa8UVi19RSqd5X4tZ+6Y2chEpT/57z7h6PVXYO8H9ckpU3mhe39OlZjob3Joh0t8Oyzz8aiOhRHrvynMUjS/23+yXTbZJP/FSIiatz4yR4HLJqckpf+erZhPdPHND7u+VEBYwoZx7BgbQqa5ORkFBYW6rY7dOhQVNPIkELWNKDyO1e6meLXd+D0sj3K8qs7cOpf2zw91alqZwlq9pfBXqE0cq1pCT7TyJjNR9WmkmkKHOlkACVFU2qqEpQq1AjXdG4xyyFMRESNW9P6xtMEaBuqd/zrLWxZ9REK+g6IYY3Im5kzZyItLQ3PPPOMsyw/Px9XX301Fi5c6PF5F154IQAYGqIOs2fPxj/+8Q8ASlCll19+GQCQkBB6gB4KTOmKA6grOoOavaUAgOzJnf1+bt2xwIepWkyCMAkvAZEaq8LCQtTV1SEhIQGDBg3CokWLYl0ligK7nfOKiYjIM/acxom2PXpj4GX6OaVJqakYcvmVEB5SL1Dsde7cGa1b61OQHDlyRDds8dQpY5RlbW+pmebNm2P8+PGGcvacRt+Zz484G6YAcOarIueyjMAXbW1vUELrNOTO6oeE3NSwHyceOG62ZGYqwaL69evnbXNqAvacOGMoKz4TeP7dd2eNCEd1iIgozrDVEydm/Gkhxt1wS6yrQUGaP3++x3XLly83lPkzHG3o0KGGMjZOY6/umCu6tqz1HH1Z2SDUY51FUodM3xs2AcnJyQGnXqLGx+r2raNg7ocY9L+f4v3NP6Gy1v/o2IM6GOfnExFR48fGKVEYWEx6tx29Qj169NAN+503b55f+7RajUM5OccqelL6tjAtd+QeBYC6455zMAJK4CTyT3V1NQ4dOhTralCEvfqN+d947d5TOFVRa7rO3Ss3GW/cERFR08DGKVGY3H///ejevTuuvfZaAMCsWbMAAOnp6Th27Jhzu0B6P1u2bBneSpLfcq7pYVreUOoagnjy6c1e91FXZBzC6I9m07sH9bymYPfu3SguLo51NShC3vcQeXf9wRI0+Mhzu//hiTi4YBIu6JYbiaoREVEcYOOUKEysViuuueYadOvWDQCQlKTk4HvvvfeC3qcjxYyDY24eRV44e6nTz28T0PYpvZsDADIubBe2OjQWr7/+ujMYGDU9vx1vfuMlwWrBH5f/AAD4n+HG1EkLf34eLBaOHCEiaurYOCWKkMTEREPZmDFjAtpHeno67r77budjbQoOiryWswcg62edQt5P1uWB7cOSaEX+gtHIurQg5GM3Vna7PdZVoAh4YpWSjunvM/rryg+XVGLtPqXHPMF9YiqAKf3bRrxuREQUe2ycEkWI2fDdIUOGBLwf9pbGTmLbdJ+9nme+OepzP5wrHLi6urpYV4HCrGDuhzhaVg0AuKRXK926s5rgYjmpiXj9V8Pwp8m9cce4LgDMG6xERNT0MPQnUYSYNUjS09NjUBMKhbAI5C8YDVlvR/GS7ajepY8oW/rvvUgfngcAqN5zGqcWb0X+gtE487Uyty6xXUbU69wYFRQU4ODBg87H1dXVzqHx1PSkJnr++jG6Wy76t8vG+Z2VoGT3ehgKTERETQ9vRRJFyS23BJ8qaMiQIbjiiivCVxkKmLBZYGuRYrpOqoFcTi3eCgA4MvdLlL63DwBQe7giOhVs5G644QbdY21Dlc4t/dtlx7oKREQUI2ycEkWQNqBR69atg97PpEmT0L9//zDUiEKR1DHLuewIWgQAp9/dg5ofy2NRpSbrxIkTsa4CERERRRkbp0QR1KmTKxCOWS5UalwSO7jm/2aMdUXSrdxw3GdaGfLtxhtvdC5zrnXT9+i0vrGuAhERxRnOOSWKsAkTJjBvYxNhzUhE7m39kNAqFXXHKv16Tkqf5r43IgBAhw4d8MADD2D//v3o2LFjrKtDEXbV4HZY9MluZ5AkAEhJsMawRkREFGvsyiGKsOHDh2PSpEmxrgaFSVL7TFiSbIAfAXgTCzKRc23PyFeqCRFCoHPnzhxp0MQUlVY5lyee55ri8Px1g3Xb3TiyIFpVIiKiOMSrPxFREBLz0nxuk3lJBwgL08gQna2pdy7/8xeDnMt92mbptvstI/MSEZ3T2DglIgqCSLCi7UOjDOWZEwqcy7LeHsUaEcWvVpnJGNg+G6/dPMywLislAQCw6Op+zAlMRHSO45xTIqIgCavxi3Tm2HZI7ZuLis8OI7lLdvQrRRSHslISsOy2kabrquoaAADdWjEnMBHRuY49p0REIUhs7/pC3fpeZf6cLScZza7sCmHlRyyRL7XqCIPvfjwd45oQEVGs8ZsTEVEI7DUNzmVbi5QY1oSocTu/MyNbExGd69g4JSIKQctb+wEAWt83JMY1IWqc3p01AlcOaIuuHNZLRHTO45xTIqIQWFJsyF8wOtbVIGq0BnXIwaAOObGuBhERxYGQek6FEIVCiCIhxCb1Z6Jm3e+FEHuFELuEEONDryoRERERERE1VeHoOX1cSvlXbYEQoheAGQB6A2gD4FMhRDcpZYPZDoiIiIiIiOjcFqk5p1MALJVS1kgpDwDYC2BohI5FREREREREjVw4Gqd3CCG2CCFeFEI0U8vaAjis2eaIWmYghLhFCLFBCLHh5MmTYagOERERERERNTY+G6dCiE+FEFtNfqYAeBpAZwD9ARwF8FigFZBSPielHCylHJybmxvo04mIiIiIiKgJ8DnnVEp5sT87EkI8D+AD9WERgHaa1flqGREREREREZFBqNF68zQPpwLYqi6/D2CGECJJCNERQFcA34ZyLCIiIiIiImq6Qp1z+hchxA9CiC0AxgG4CwCklNsAvAVgO4CPANzOSL1ERETBEUK0E0KsFkJsF0JsE0LcqZbnCCE+EULsUX83U8uFEOIJNaXbFiHEQM2+rle33yOEuD5Wr4mIiMhdSKlkpJQzvax7CMBDoeyfiIiIAAD1AO6RUm4UQmQA+E4I8QmAGwCsklIuEELMBTAXwH0ALoMyaqkrgGFQYkQME0LkAHgAwGAAUt3P+1LK01F/RURERG4ilUqGiIiIwkRKeVRKuVFdrgCwA0oU/CkAXlY3exnAFeryFACvSMU3ALLVqTjjAXwipSxRG6SfAJgQvVdCRETkGRunREREjYgQogDAAADrALSSUh5VVx0D0Epd9pTSze9Ub0RERNHGxikREVEjIYRIB/AugDlSynLtOimlhDJUNxzHYQ5yIiKKOjZOiYiIGgEhRAKUhulrUsplavFxR+R89fcJtdxTSje/Ur0xBzkREcWCUG60xgchxEkAP4Zpdy0AnArTvqKJ9Y4u1ju6WO/oaqz1BsJX9w5SykbfuhJCCChzSkuklHM05Y8CKNYERMqRUv5OCDEJwB0AJkIJiPSElHKoGhDpOwCO6L0bAQySUpZ4OTavzax3tLHe0cV6R1djrTcQhWtzXDVOw0kIsUFKOTjW9QgU6x1drHd0sd7R1VjrDTTuukeCEGIUgC8B/ADArhb/Acq807cAtIfSgLxaSlmiNmafhBLsqBLAjVLKDeq+blKfCwAPSSn/FcXX0Sj/rqx3dLHe0cV6R1djrTcQnbqHlEqGiIiIIk9KuQaA8LD6IpPtJYDbPezrRQAvhq92RERE4cE5p0RERERERBRzTblx+lysKxAk1ju6WO/oYr2jq7HWG2jcdSfPGuvflfWOLtY7uljv6Gqs9QaiUPcmO+eUiIiIiIiIGo+m3HNKREREREREjUSTa5wKISYIIXYJIfaqYfVjXZ92QojVQojtQohtQog71fJCIUSREGKT+jNR85zfq/XfJYQYrymP6msTQhwUQvyg1s8R5TFHCPGJEGKP+ruZWi6EEE+oddsihBio2c/16vZ7hBDXR7jO3TXndJMQolwIMSdez7cQ4kUhxAkhxFZNWdjOsRBikPo33Ks+11NAlXDU+1EhxE61bsuFENlqeYEQokpz7p/xVT9P5yBC9Q7be0MI0VEIsU4tf1MIkRjBer+pqfNBIcQmtTyezrenz7+4f49TeEXj8zTA+vDazGuzt/ry2sxrc7D15rXZy2vyi5SyyfwAsALYB6ATgEQAmwH0inGd8gAMVJczAOwG0AtAIYB7TbbvpdY7CUBH9fVYY/HaABwE0MKt7C8A5qrLcwEsVJcnAlgBJZrkcADr1PIcAPvV383U5WZRfD8cA9AhXs83gAug5BvcGolzDOBbdVuhPveyCNb7UgA2dXmhpt4F2u3c9mNaP0/nIEL1Dtt7A0pKjxnq8jMAZkWq3m7rHwMwPw7Pt6fPv7h/j/MnfD/e/mdiWCdem3lt9lZHXpt5bQ6q3m7reW0O4j3e1HpOhwLYK6XcL6WsBbAUwJRYVkhKeVRKuVFdrgCwA0BbL0+ZAmCplLJGSnkAwF4oryteXtsUKIngof6+QlP+ilR8AyBbCJEHYDyAT6SUJVLK0wA+gZJ3LxouArBPSukteXxMz7eU8gsAJSZ1Cvkcq+sypZTfSOWT4hXNvsJebynlSillvfrwGwD53vbho36ezkHY6+1FQO8N9a7ghQDeiWa91eNeDeANb/uI0fn29PkX9+9xCqt4uX458drMa7M3vDbz2hxqvXltDv493tQap20BHNY8PgLvF5uoEkIUABgAJWk6ANyhdo+/qOmq9/QaYvHaJICVQojvhBC3qGWtpJRH1eVjAFqpy/FUb4cZ0H8oxPv5dgjXOW6rLruXR8NNUO6UOXQUQnwvhPhcCDFaLfNWP0/nIFLC8d5oDqBU8yUgWud7NIDjUso9mrK4O99un39N4T1O/uO1Obx4bTaWR0NT+NzitZnXZp14vDY3tcZp3BJCpAN4F8AcKWU5gKcBdAbQH8BRKF3/8WaUlHIggMsA3C6EuEC7Ur0bImNSMx/U+QSTAbytFjWG820Qz+fYEyHEHwHUA3hNLToKoL2UcgCAuwG8LoTI9Hd/UTgHjfK9oXEN9F/04u58m3z+RfR4RP7itTm6eG2OHV6bo47X5iA1tcZpEYB2msf5allMCSESoPzxX5NSLgMAKeVxKWWDlNIO4HkowxEAz68h6q9NSlmk/j4BYLlax+Nqd71jKMKJeKu36jIAG6WUx4HGcb41wnWOi6AfvhPx1yCEuAHAzwD8Qv1ggzr0plhd/g7KnJBuPurn6RyEXRjfG8VQhrrY3MojRj3WlQDedJTF2/k2+/zzcry4f49TUHhtDiNem3ltDhSvzbw2m9Qxbq/NTa1xuh5AV6FE5UqEMnTk/VhWSB1zvhjADinlIk15nmazqQAckb7eBzBDCJEkhOgIoCuUScVRfW1CiDQhRIZjGcqE+q3qMa9XN7sewHuael8nFMMBlKlDAz4GcKkQopk6JONStSzSdHes4v18uwnLOVbXlQshhqvvw+s0+wo7IcQEAL8DMFlKWakpzxVCWNXlTlDO8X4f9fN0DiJR77C8N9QL/moA06JRb9XFAHZKKZ3DZ+LpfHv6/PNyvLh+j1PQeG0OX715bea1OSC8NvPa7C7ur80yDFGf4ukHSkSp3VDuSPwxDuozCkq3+BYAm9SfiQCWAPhBLX8fQJ7mOX9U678LmuhW0XxtUKKdbVZ/tjmOB2Xs/ioAewB8CiBHLRcAnlLr9gOAwZp93QRlwvpeADdG4ZynQblTlqUpi8vzDeUifRRAHZQx+b8M5zkGMBjKB/o+AE8CEBGs914ocw8c7/Nn1G1/rr6HNgHYCOByX/XzdA4iVO+wvTfU/5tv1XPxNoCkSNVbLX8JwK1u28bT+fb0+Rf373H+hPfH0/9MDOvDazOvzd7qymszr81B1Vstfwm8Ngf9Hne8eCIiIiIiIqKYaWrDeomIiIiIiKgRYuOUiIiIiIiIYo6NUyIiIiIiIoo5Nk6JiIiIiIgo5tg4JSIiIiIiophj45QoREKIbCHEbepyGyHEOxE8Vn8hxMRI7Z+IiKgp4LWZqHFi45QodNkAbgMAKeVPUspp3jcPSX8ouaiIiIjIs2zw2kzU6DDPKVGIhBBLAUyBkgx6D4CeUso+QogbAFwBJfF4VwB/BZAIYCaAGgATpZQlQojOUJIb5wKoBPArKeVOIcRVAB4A0ACgDMDFUJIcpwAoAvAIgAMA/g4gGUAVlATIuwI49mdQkrmPAWADcJOU8lshxBh1v4CSqPkCKWVFWE8cERFRhPDaTNQ4seeUKHRzAeyTUvYH8Fu3dX0AXAlgCICHAFRKKQcA+BrAdeo2zwGYLaUcBOBeAP9Uy+cDGC+l7AdgspSyVi17U0rZX0r5JoCdAEar+5wP4OEAjw0AqWrdbwPwolp2L4Db1fLRUC6uREREjQWvzUSNkC3WFSBq4lardzUrhBBlAP5PLf8BQF8hRDqA8wG8LYRwPCdJ/f0VgJeEEG8BWOZh/1kAXhZCdIVyFzXB32NrtnsDAKSUXwghMoUQ2eqxFwkhXgOwTEp5JIjXTkREFI94bSaKU+w5JYqsGs2yXfPYDuXmkAVAqXq31fHTEwCklLcCmAegHYDvhBDNTfb/ZygXuj4ALocyhMjfYzu4j+2XUsoFAG6GMkzpKyFED79eLRERUfzjtZkoTrFxShS6CgAZwTxRSlkO4IA6hwVC0U9d7iylXCelnA/gJJQLofuxsqDMcQGAG4KrPqarxxsFoExKWaYe+wcp5UIA6wHwAkhERI0Jr81EjRAbp0QhklIWQ7mDuRXAo0Hs4hcAfimE2AxgG5QADgDwqBDiB3W/a6EER1gNoJcQYpMQYjqAvwB4RAjxPYIfpl+tPv8ZAL9Uy+YIIbYKIbYAqAOwIsh9ExERRR2vzUSNE6P1Ep3D1IiA90opN8S6LkRERMRrM53b2HNKREREREREMceeUyIiIiIiIoo59pwSERERERFRzLFxSkRERERERDHHxikRERERERHFHBunREREREREFHNsnBIREREREVHMsXFKREREREREMff/DniHRyMn1LIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### PLOT GENERATED SAMPLE DATA ###\n",
    "\n",
    "plt.figure(figsize=(16,6))\n",
    "plt.subplot(121)\n",
    "plt.plot(X)\n",
    "plt.xlabel('timestamps'); plt.title('inputs (X)')\n",
    "plt.subplot(122)\n",
    "plt.plot(y)\n",
    "plt.xlabel('timestamps'); plt.title('target (y)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "748cf994",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:00:02.682583Z",
     "iopub.status.busy": "2022-04-09T11:00:02.681412Z",
     "iopub.status.idle": "2022-04-09T11:00:04.699577Z",
     "shell.execute_reply": "2022-04-09T11:00:04.700194Z",
     "shell.execute_reply.started": "2022-04-08T15:49:22.764916Z"
    },
    "papermill": {
     "duration": 2.047653,
     "end_time": "2022-04-09T11:00:04.700472",
     "exception": false,
     "start_time": "2022-04-09T11:00:02.652819",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### SIMULATE LABEL GENERATION PROCESS AS FUNCTION OF THRESHOLD LEVEL ###\n",
    "\n",
    "pct_change = np.diff(y)\n",
    "pct_change = pct_change / y[:-1] *100\n",
    "index = np.arange(len(pct_change))\n",
    "\n",
    "fig = plt.figure(figsize=(18,7))\n",
    "camera = Camera(fig)\n",
    "\n",
    "for t in thresholds:\n",
    "    class1 = pct_change<t\n",
    "    class0 = pct_change>=t\n",
    "    label_prop = pd.Series(pct_change < t).replace(\n",
    "        {False:'class_0',True:'class_1'}).value_counts(sort=False)\n",
    "    \n",
    "    plt.subplot(121)\n",
    "    plt.scatter(index[class0], pct_change[class0], c='blue')\n",
    "    plt.scatter(index[class1], pct_change[class1], c='orange')\n",
    "    plt.axhline(t, c='red', linestyle='--', linewidth=3)\n",
    "    plt.xlabel('timestamps'); plt.title(f'Target Percentage Variations')\n",
    "    \n",
    "    plt.subplot(122)\n",
    "    label_prop.plot.pie(colors = ['blue', 'orange'], ylabel='', title='Label Proportion')\n",
    "    camera.snap()\n",
    "    \n",
    "animation = camera.animate()\n",
    "animation.save('./animation.gif')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cbccdfcf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:00:04.768441Z",
     "iopub.status.busy": "2022-04-09T11:00:04.758640Z",
     "iopub.status.idle": "2022-04-09T11:05:53.890815Z",
     "shell.execute_reply": "2022-04-09T11:05:53.890006Z",
     "shell.execute_reply.started": "2022-04-05T07:22:42.782855Z"
    },
    "papermill": {
     "duration": 349.162973,
     "end_time": "2022-04-09T11:05:53.891168",
     "exception": false,
     "start_time": "2022-04-09T11:00:04.728195",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "F1          | (0): 0.931 | (-0.1): 0.899 | (-0.2): 0.845 | (-0.3): 0.743 | (-0.4): 0.591: 100%|██████████| 100/100 [05:49<00:00,  3.49s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Precision   | (0): 0.935 | (-0.1): 0.935 | (-0.2): 0.939 | (-0.3): 0.938 | (-0.4): 0.941\n",
      "Recall      | (0): 0.928 | (-0.1): 0.867 | (-0.2): 0.773 | (-0.3): 0.630 | (-0.4): 0.458\n",
      "F1          | (0): 0.931 | (-0.1): 0.899 | (-0.2): 0.845 | (-0.3): 0.743 | (-0.4): 0.591\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "### FIT STANDARD RANDOM FOREST CLASSIFIER ###\n",
    "\n",
    "trials = tqdm(range(100))\n",
    "\n",
    "for i in trials:\n",
    "    \n",
    "    X,y = gen_timeseries_dataset(n_samples=6_000, n_features=10, level=100, random_state=i)\n",
    "    \n",
    "    y_change = np.diff(y)\n",
    "    y_change = y_change / y[:-1] *100\n",
    "    X = np.diff(X, axis=0)\n",
    "    \n",
    "    for t in thresholds:\n",
    "        \n",
    "        y = (y_change < t).astype(int)\n",
    "\n",
    "        X_train, X_test, y_train, y_test = train_test_split(\n",
    "            X,y, test_size=0.3, shuffle=False\n",
    "        )\n",
    "\n",
    "        model = RandomForestClassifier(n_estimators=100, random_state=33, n_jobs=-1)\n",
    "        model.fit(X_train, y_train)\n",
    "\n",
    "        y_pred = model.predict(X_test)        \n",
    "        f_scoring['RF'][t].append(f1_score(y_test, y_pred))\n",
    "        p_scoring['RF'][t].append(precision_score(y_test, y_pred))\n",
    "        r_scoring['RF'][t].append(recall_score(y_test, y_pred))\n",
    "    \n",
    "    desc = scores2str(f_scoring['RF'], 'F1')\n",
    "    trials.set_description(desc)\n",
    "\n",
    "\n",
    "print(scores2str(p_scoring['RF'], 'Precision'))\n",
    "print(scores2str(r_scoring['RF'], 'Recall'))\n",
    "print(scores2str(f_scoring['RF'], 'F1'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "becafaf5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:05:54.141431Z",
     "iopub.status.busy": "2022-04-09T11:05:54.140467Z",
     "iopub.status.idle": "2022-04-09T11:05:54.911958Z",
     "shell.execute_reply": "2022-04-09T11:05:54.911120Z",
     "shell.execute_reply.started": "2022-04-05T07:41:15.894502Z"
    },
    "papermill": {
     "duration": 0.920186,
     "end_time": "2022-04-09T11:05:54.912161",
     "exception": false,
     "start_time": "2022-04-09T11:05:53.991975",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### STANDARD RANDOM FOREST CLASSIFIER PERFORMANCES ###\n",
    "\n",
    "plt.figure(figsize=(18,5))\n",
    "plt.subplot(131)\n",
    "pd.DataFrame(p_scoring['RF']).plot.box(ax=plt.gca(), ylabel='precision', **boxplotcolorprop('blue'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.subplot(132)\n",
    "pd.DataFrame(r_scoring['RF']).plot.box(ax=plt.gca(), ylabel='recall', **boxplotcolorprop('red'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.subplot(133)\n",
    "pd.DataFrame(f_scoring['RF']).plot.box(ax=plt.gca(), ylabel='f1', **boxplotcolorprop('green'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "884d506b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:05:55.133355Z",
     "iopub.status.busy": "2022-04-09T11:05:55.132198Z",
     "iopub.status.idle": "2022-04-09T11:12:34.617528Z",
     "shell.execute_reply": "2022-04-09T11:12:34.618211Z",
     "shell.execute_reply.started": "2022-04-05T07:23:13.515878Z"
    },
    "papermill": {
     "duration": 399.603131,
     "end_time": "2022-04-09T11:12:34.618538",
     "exception": false,
     "start_time": "2022-04-09T11:05:55.015407",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "F1          | (0): 0.931 | (-0.1): 0.905 | (-0.2): 0.866 | (-0.3): 0.804 | (-0.4): 0.703: 100%|██████████| 100/100 [06:39<00:00,  3.99s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Precision   | (0): 0.932 | (-0.1): 0.917 | (-0.2): 0.900 | (-0.3): 0.875 | (-0.4): 0.852\n",
      "Recall      | (0): 0.931 | (-0.1): 0.895 | (-0.2): 0.841 | (-0.3): 0.759 | (-0.4): 0.633\n",
      "F1          | (0): 0.931 | (-0.1): 0.905 | (-0.2): 0.866 | (-0.3): 0.804 | (-0.4): 0.703\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "### FIT WEIGHTED RANDOM FOREST CLASSIFIER ###\n",
    "\n",
    "trials = tqdm(range(100))\n",
    "\n",
    "for i in trials:\n",
    "    \n",
    "    X,y = gen_timeseries_dataset(n_samples=6_000, n_features=10, level=100, random_state=i)\n",
    "    \n",
    "    y_change = np.diff(y)\n",
    "    y_change = y_change / y[:-1] *100\n",
    "    X = np.diff(X, axis=0)\n",
    "    \n",
    "    for t in thresholds:\n",
    "        \n",
    "        y = (y_change < t).astype(int)\n",
    "\n",
    "        X_train, X_test, y_train, y_test = train_test_split(\n",
    "            X,y, test_size=0.3, shuffle=False\n",
    "        )\n",
    "\n",
    "        model = RandomForestClassifier(n_estimators=100, random_state=33, oob_score=True, n_jobs=-1)\n",
    "        model.fit(X_train, y_train)\n",
    "\n",
    "        linear_reg = LogisticRegression()\n",
    "        linear_reg.fit(model.oob_decision_function_, y_train)\n",
    "\n",
    "        y_pred = linear_reg.predict(model.predict_proba(X_test))\n",
    "        f_scoring['RF_STACK_OOB'][t].append(f1_score(y_test, y_pred))\n",
    "        p_scoring['RF_STACK_OOB'][t].append(precision_score(y_test, y_pred))\n",
    "        r_scoring['RF_STACK_OOB'][t].append(recall_score(y_test, y_pred))\n",
    "    \n",
    "    desc = scores2str(f_scoring['RF_STACK_OOB'], 'F1')\n",
    "    trials.set_description(desc)\n",
    "\n",
    "    \n",
    "print(scores2str(p_scoring['RF_STACK_OOB'], 'Precision'))\n",
    "print(scores2str(r_scoring['RF_STACK_OOB'], 'Recall'))\n",
    "print(scores2str(f_scoring['RF_STACK_OOB'], 'F1'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "8a468ad5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:12:34.983424Z",
     "iopub.status.busy": "2022-04-09T11:12:34.982596Z",
     "iopub.status.idle": "2022-04-09T11:12:35.533300Z",
     "shell.execute_reply": "2022-04-09T11:12:35.532506Z",
     "shell.execute_reply.started": "2022-04-05T07:41:00.864669Z"
    },
    "papermill": {
     "duration": 0.737744,
     "end_time": "2022-04-09T11:12:35.533493",
     "exception": false,
     "start_time": "2022-04-09T11:12:34.795749",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### WEIGHTED RANDOM FOREST CLASSIFIER PERFORMANCES ###\n",
    "\n",
    "plt.figure(figsize=(18,5))\n",
    "plt.subplot(131)\n",
    "pd.DataFrame(p_scoring['RF_STACK_OOB']).plot.box(ax=plt.gca(), ylabel='precision', **boxplotcolorprop('blue'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.subplot(132)\n",
    "pd.DataFrame(r_scoring['RF_STACK_OOB']).plot.box(ax=plt.gca(), ylabel='recall', **boxplotcolorprop('red'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.subplot(133)\n",
    "pd.DataFrame(f_scoring['RF_STACK_OOB']).plot.box(ax=plt.gca(), ylabel='f1', **boxplotcolorprop('green'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "da5e1316",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:12:35.907288Z",
     "iopub.status.busy": "2022-04-09T11:12:35.906488Z",
     "iopub.status.idle": "2022-04-09T11:27:24.446453Z",
     "shell.execute_reply": "2022-04-09T11:27:24.441798Z",
     "shell.execute_reply.started": "2022-04-05T07:23:48.450616Z"
    },
    "papermill": {
     "duration": 888.730319,
     "end_time": "2022-04-09T11:27:24.446750",
     "exception": false,
     "start_time": "2022-04-09T11:12:35.716431",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "F1          | (0): 0.956 | (-0.1): 0.929 | (-0.2): 0.876 | (-0.3): 0.778 | (-0.4): 0.610: 100%|██████████| 100/100 [14:48<00:00,  8.88s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Precision   | (0): 0.957 | (-0.1): 0.945 | (-0.2): 0.930 | (-0.3): 0.911 | (-0.4): 0.887\n",
      "Recall      | (0): 0.956 | (-0.1): 0.914 | (-0.2): 0.834 | (-0.3): 0.693 | (-0.4): 0.496\n",
      "F1          | (0): 0.956 | (-0.1): 0.929 | (-0.2): 0.876 | (-0.3): 0.778 | (-0.4): 0.610\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "### FIT LINEAR RANDOM FOREST CLASSIFIER ###\n",
    "\n",
    "trials = tqdm(range(100))\n",
    "\n",
    "for i in trials:\n",
    "    \n",
    "    X,y = gen_timeseries_dataset(n_samples=6_000, n_features=10, level=100, random_state=i)\n",
    "    \n",
    "    y_change = np.diff(y)\n",
    "    y_change = y_change / y[:-1] *100\n",
    "    X = np.diff(X, axis=0)\n",
    "    \n",
    "    for t in thresholds:\n",
    "        \n",
    "        y = (y_change < t).astype(int)\n",
    "\n",
    "        X_train, X_test, y_train, y_test = train_test_split(\n",
    "            X,y, test_size=0.3, shuffle=False\n",
    "        )\n",
    "\n",
    "        model = LinearForestClassifier(Ridge(), n_estimators=100, random_state=33, n_jobs=-1)\n",
    "        model.fit(X_train, y_train)\n",
    "\n",
    "        y_pred = model.predict(X_test)\n",
    "        f_scoring['LINEAR_RF'][t].append(f1_score(y_test, y_pred))\n",
    "        p_scoring['LINEAR_RF'][t].append(precision_score(y_test, y_pred))\n",
    "        r_scoring['LINEAR_RF'][t].append(recall_score(y_test, y_pred))\n",
    "    \n",
    "    desc = scores2str(f_scoring['LINEAR_RF'], 'F1')\n",
    "    trials.set_description(desc)\n",
    "\n",
    "    \n",
    "print(scores2str(p_scoring['LINEAR_RF'], 'Precision'))\n",
    "print(scores2str(r_scoring['LINEAR_RF'], 'Recall'))\n",
    "print(scores2str(f_scoring['LINEAR_RF'], 'F1'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c359c4ed",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:27:24.961446Z",
     "iopub.status.busy": "2022-04-09T11:27:24.960603Z",
     "iopub.status.idle": "2022-04-09T11:27:25.497612Z",
     "shell.execute_reply": "2022-04-09T11:27:25.496878Z",
     "shell.execute_reply.started": "2022-04-05T07:40:31.120615Z"
    },
    "papermill": {
     "duration": 0.797467,
     "end_time": "2022-04-09T11:27:25.497788",
     "exception": false,
     "start_time": "2022-04-09T11:27:24.700321",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### LINEAR RANDOM FOREST CLASSIFIER PERFORMANCES ###\n",
    "\n",
    "plt.figure(figsize=(18,5))\n",
    "plt.subplot(131)\n",
    "pd.DataFrame(p_scoring['LINEAR_RF']).plot.box(ax=plt.gca(), ylabel='precision', **boxplotcolorprop('blue'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.subplot(132)\n",
    "pd.DataFrame(r_scoring['LINEAR_RF']).plot.box(ax=plt.gca(), ylabel='recall', **boxplotcolorprop('red'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.subplot(133)\n",
    "pd.DataFrame(f_scoring['LINEAR_RF']).plot.box(ax=plt.gca(), ylabel='f1', **boxplotcolorprop('green'))\n",
    "plt.xlabel('thresholds')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "6051cdee",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-04-09T11:27:26.006162Z",
     "iopub.status.busy": "2022-04-09T11:27:26.005437Z",
     "iopub.status.idle": "2022-04-09T11:27:28.675626Z",
     "shell.execute_reply": "2022-04-09T11:27:28.675031Z",
     "shell.execute_reply.started": "2022-04-05T07:37:15.926529Z"
    },
    "papermill": {
     "duration": 2.925426,
     "end_time": "2022-04-09T11:27:28.675809",
     "exception": false,
     "start_time": "2022-04-09T11:27:25.750383",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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kqvpGVX25Kb8N+Bxw9swOqur6qtpcVZs3bNjQwkuQpPaYfJAkSZIWbw9wVpIzkzwOuBjYOaPOF4HnAyQZopN8OJBkQ7NgJUmeBJwF3NuzyCWpB1pNPsxju6HTk3yk2Wro1iSnthlPG5LeHuvW9fsVS5Ikaaaqegi4FLgFmKKzq8WdSa5JcmFT7Q3ATyf5NDABvLqqCvgh4I4ktwMfAn6mqg72/EVIUota22pzntsN/TLw/qp6X5LnAW8DfqKtmJZa1cLaJQtvK0mSpOWpqnbRWUiyu+zKrsd3Ac+epd3vAr/beoCS1EetJR/o2m4IIMn0dkPdyYdz6CyqA7AbuLnFeCRJkiRpIK1/x3oOHT604Pa5Ogtqt+6kdRx8sxN1dHxtJh9m227oWTPqfBp4BXAt8HLgCUm+a3rBHUmSJEnS8R06fIi6qvfTqxeatNDq0+8FJ98IPDfJp4Dn0lkR+OGZldxWSJIkSZKklavN5MNxtxuqqi9V1SuaPY1Hm7IHZj6R2wpJkiRJkrRytZl8OO52Q0lOTjIdw1uAG1qMR5IkSZIk9UFraz5U1UNJprcbWgPcML3dELC3qnYC5wNvS1LAx4DXthWPBtNlXAa7b+f8fnT+znOB7f3oWZIkSZJWlDYXnJzPdkMforOXsSRJkiRJGlCtJh+ktm1nO9cOw629X9iXXA5c1vt+JUmSJGml6fduF5IkSZIkacCZfJAkSZIkSa0y+SBJkiRJklpl8kGSJEmSJLXKBSclSdLirV8Phw4trG2ysHbr1sHBgwtrK0lSC9a/Yz2HDi/w5yGQqxf2M3HdSes4+Obl/TPR5IOkJbPQ3x8WY9263vcpaRaHDkH1eOuhfgw6kiTN4dDhQ9RVvd+Kb6FJi14y+SBpSSzmd46k97+zSJIkSeod13yQJEmSJEmtMvkgSZIkSZJaZfJBkgZYkguS3J1kX5IrZrm+McnuJJ9KckeSl/YjTkmSJA02kw+SNKCSrAGuA14CnAOMJDlnRrWfB26qqmcAFwO/3tsoJUmStBqYfJCkwXUesK+q7q2qB4EbgYtm1Cngic3j7wC+1MP4JEmStEq424UkDa5TgPu6zvcDz5pR563AHyfZBnw78ILehCZJkqTVxJkPkrS6jQDvrapTgZcCH0gy68+GJJck2Ztk74EDB3oapCRJklY2kw+SNLjuB07rOj+1Keu2FbgJoKo+AZwEnDzbk1XV9VW1uao2b9iwoYVwJUmSNKhMPkjS4NoDnJXkzCSPo7Og5M4Zdb4IPB8gyRCd5IPTGiRpARazw1CStzTt7k7y4t5GLkntc80HSRpQVfVQkkuBW4A1wA1VdWeSa4C9VbUTeAPwW0kup7P45KurqvoXtSStTF07DL2Qzho7e5LsrKq7uqpN7zD07mb3oV3AGc3ji4GnAv8M+JMkZ1fVw719FQuz/h3rOXT40ILa5uosqN26k9Zx8M0HF9R2EF3GZfAqOJ/ze9+5qTLNk8kHSRpgVbWLzofb7rIrux7fBTy713FJ0gA6usMQQJLpHYa6kw/H2mHoIuDGqvoG8Pkk+5rn+0QvAl+sQ4cPUVf1Nm+90KSFpP4x+SBJkiQt3mJ2GDoF+OSMtqe0E6YG0Xa2c+37ruXWq27ted+5JfADPe9WK5BrPkiSJEm9Me8dhmbjrkOSVjKTD5IkSdLiLWaHofm0ddchSSuayQdJkiRp8Razw9BO4OIk35LkTOAs4H/1LHJJ6gHXfJAkSZIWaZE7DN2Z5CY6i1M+BLx2pex0IUnzZfJBkiRJWgKL2WGoqsaAsVYDlKQ+8rYLSZIkSZLUKmc+SJIkSZK0SJdxGbwKzuf83nf+4t53eaJMPkiSpEW5jMu4fTfQ4w9b574Ttve0R0mStFAmHyRJkiRJWqTtbOfa913LrVfd2vO+c0vgB3re7Qkx+SBJkhZlO9th+FqoW3vb8eWBy3rbpSRJWhgXnJQkSZIkSa0y+SBJkiRJklrlbRcaCEnv+1y3rvd9SpI0p/Xr4dChhbdf6A/Udevg4MGF9ytJGngmH7TiVS28bbK49pIkLSuHDvXnB1s//gogSVpRvO1CkiRJkiS1yuSDJEmSJElqlckHSZIkSZLUKpMPkiRJkiSpVSYfJEmSJElSq0w+SJIkSZKkVpl8kCRJkiRJrTL5IEmSJEmSWvXYfgcgSZIkSVq8XJ2e97nupHU971Mrk8kHSZIkSVrh6qpacNtcnUW1l+Zj3smHJKcAp3e3qaqPtRGUJEmSJEkaHPNKPiR5B/BjwF3Aw01xAXMmH5JcAFwLrAHeU1Vvn3F9I/A+4DubOldU1a4TiF+SJEmSJC1z85358DLg+6rqG/N94iRrgOuAFwL7gT1JdlbVXV3Vfh64qareneQcYBdwxnz7kCRJkiRJy998d7u4F1h7gs99HrCvqu6tqgeBG4GLZtQp4InN4+8AvnSCfUiSJEmSpGVuvjMfvgbcnuQjwNHZD1X1ujnanALc13W+H3jWjDpvBf44yTbg24EXzDMeSZIkSZK0Qsx35sNO4BeAPwdu6zoWawR4b1WdCrwU+ECSR8WU5JIke5PsPXDgwBJ0275ktmOCZBOwhmRTcz57XUmSJK0cSS5IcneSfUmumOX6O5Pc3hz3JHmg69rDXdd29jRwSeqReSUfqup9wAT/lHT4YFM2l/uB07rOT23Kum0Fbmr6+ARwEnDyLP1fX1Wbq2rzhg0b5hNy31U98vjgByc488xRPvrRHTz44GE++tEdnHnmKB/84MSj6pa73EhaIov5MCxJmp+utc5eApwDjDTrmR1VVZdX1blVdS6wA/gfXZe/Pn2tqi7sVdyS1EvzSj4kOR/4LJ1B9deBe5L80HGa7QHOSnJmkscBF9OZQdHti8Dzmz6G6CQfVsbUhhM0NjbG+Pg4w8PDrF27luHhYcbHxxkbG+t3aJIG1BJ8GJYkzc981jrrNkLnD3uStGrM97aLXwFeVFXPraofAl4MvHOuBlX1EHApcAswRWdXizuTXJNkOqP7BuCnk3yazgD86qrB/Lv/1NQUW7ZseUTZli1bmJqa6lNEklYBPwxLUm/MttbZKbNVTHI6cCbw0a7ik5pbjD+Z5GWtRSlJfTTfBSfXVtXd0ydVdU+S4+5+UVW76Gyf2V12Zdfju4BnzzOGFW1oaIirr76am2++mampKYaGhnjZy17G0NBQv0OTtMwlef1c16vqV49xaT4L/073MduHYUnS0rsY+FBVPdxVdnpV3Z/kScBHk3ymqj43s2GSS4BLADZu3NibaCVpicx35sPeJO9Jcn5z/Bawt83ABs3w8DDveMc7eM1rXsM//MM/8JrXvIZ3vOMdDA8P9zs0ScvfE45zLIXZPgw/wrJc/Hf9+mOt8Hv8Axbedv36/r5uScvNfNY6m3YxM2aZVdX9zb/3ArcCz5it4UpcB02Sps135sN/AF4LTG+t+XE6az9onnbv3s2b3/xmbrjhBt70pjcxNDTEm9/8Zm6++eZ+hyZpmauqqxfY9EQ/DL/2OHFcD1wPsHnz5uVxi9yhQ/1ZpddtiSQ90tG1zuiMsxcDPz6zUpKnAOuAT3SVrQO+VlXfSHIynVnB/7knUUtSD80r+VBV3wB+tTm0AFNTU3zqU5/iF3/xF4+WHTlyhLe97W19jErSSpDkXXNdr6rXHePSgj8MSwvS66TMunW97W+Zu4zLuH03wPk97/vcd8L2nve6fFTVQ0mm1zpbA9wwvdYZsLeqphddvxi4ccYaZ0PAbyb5Jp1ZyW9vbk1eES7jMngVnN/r77sX97Y7SYs3Z/IhyU1V9coknwEe9aelqnp6a5ENmKGhISYnJx9xm8Xk5KRrPkiaj9sW0miRH4alE7PQb5/EPaY1EI631llz/tZZ2v058LRWg5OkZeB4Mx9+tvn3h9sOZNCNjo6ydetWxsfH2bJlC5OTk2zdutWtNiUdV1W9bxFtF/RhWNLKs53tMHwt1K297/zywGW971b9t53tXPu+a7n1qlt72m9uCfxAT7uUtEhzJh+q6q+bh38HfL2qvpnkbOApwP/bdnCDZGRkBIBt27Yd3e1ibGzsaLkkHU+SDcCbgXOAk6bLq+p5fQtKkiRJmof5Ljj5MeA5zYI4f0znPuIfA/5tW4ENopGREZMNkhbjvwG/A/wr4GeAVwHLZNsJSZIk6djmu9VmquprwCuAX6+qHwWe2l5YkqRZfFdVjQNHqupPq+o1gLMeJKllSR7f7xgkaaWbd/Ihyb+kM9PhD5uyNe2EJEk6hiPNv3+d5F8leQawvp8BSdIqsWJ2n5Ck5Wq+t11cBrwF+L1mpfQnAbtbi0qSNJtfTPIdwBuAHcATgcv7G5IkDYYkrz/WJcCZD5LmLVf3eOtpYN1Jy3/76XklH6rqT4E/7Tq/FzjWvvKSpBZU1R80D78CDM9VV5J0wn4J+C/AQ7Ncm+9sYUmrXF218O2jc3UW1X65mzP5kGR7VV2W5PeBR30VqurC1iKTJD1CkvcBP1tVDzTn64BfadZ+kCQtzl8AN1fVbTMvJPmpPsQjSQPleDMfPtD8+8ttByJJOq6nTyceAKrqULPugyRp8e4HvpDkZ6vq2hnXNvcjIEkaJHMmH7oyv3uBr1fVNwGSrAG+peXYJEmP9Jgk66rqEECS9cx/7R5J0tzOAR4HvCbJ++ms9TDtyOxNJEnzNd8PrR8BXgB8tTn/VuCPgR9sIyhJ0qx+BfhEkv/enP8oMNbHeCRpkPwmnc+8TwJu45HJh2rKJUkLNN/kw0lVNZ14oKq+muTbWopJkjSLqnp/kr3A85qiV1SV279J0hKoqncB70ry7qr6D/2OR5IGzXxX7v3HJN8/fZLkmcDX2wlJkjSH9cA/VtWvAQeSnNnvgCRpkJh4kKR2zHfmw2XAf0/yJTpT0P4v4MfaCkqS9GhJrqKz6Nn3Ab8NrAX+K/DsfsYlSZIkHc+8kg9VtSfJU+h84AW4u6pceEeSeuvlwDPobAdHVX0pyRP6G5IkSZJ0fPO67aJZ3+HNdPaX/0vgjCQ/3GpkkqSZHqyqorPwGUm+vc/xSJIkSfMy3zUffht4EPiXzfn9wC+2EpEk6VGSBPiDJL8JfGeSnwb+BPit/kYmSZIkHd9813x4clX9WJIRgKr6WvNBWJLm5XgjxvGuVy1dLCtRVVWSHwVeD/w9ndvgrqyqD/c3MkmSJOn45pt8eDDJt/JPU32fDHyjtagkDZzVnjxYIn8BPFBVb+p3IJIkSdKJmO9tF1cBfwScluS/AR8B/lNrUQ2oiYkJNm3axJo1a9i0aRMTExP9DknSyvIs4BNJPpfkjumj30FJkiRJx3Pc5EOSxwDrgFcArwYmgM1VdWurkQ2YiYkJRkdH2bFjB4cPH2bHjh2Mjo6agNCqZkLuhL0YeDLwPOBfdx2SJEnSsnbc2y6q6ptJ/lNV3QT8YQ9iGkhjY2OMj48zPDwMwPDwMOPj42zbto2RkZE+Ryf13nRCbnx8nC1btjA5OcnWrVsB/D9xDFX1hX7HIEmSJC3EfG+7+JMkb0xyWpL100erkQ2YqakptmzZ8oiyLVu2MDU11aeIpP7qTsitXbv2aEJubGys36FJkiRJWmLzTT78GPAfgT8F9nYdmqehoSEmJycfUTY5OcnQ0FCfIpL6y4ScJEmStHrMN/lwDnAd8GngdmAH8NSWYhpIo6OjbN26ld27d3PkyBF2797N1q1bGR0d7XdoUl+YkJMkDZokFyS5O8m+JFfMcv2dSW5vjnuSPNB17VVJPtscr+pp4JLUA/PdavN9dPaVf1dz/uNN2SvbCGoQTd/Dvm3bNqamphgaGmJsbMx727VqTSfkZq754G0XkqSVKMkaOn+seyGwH9iTZGdV3TVdp6ou76q/DXhG83g9nd3lNtPZ2v62pu2hHr4ESWrVfJMPm6rqnK7z3UnuOmZtzWpkZMRkg9QwISdJGjDnAfuq6l6AJDcCFwHH+sw8QifhAJ3djD5cVQebth8GLqCzy5wkDYT5Jh/+IskPVNUnAZI8C9d8kLRIJuQkSQPkFOC+rvP9wLNmq5jkdOBM4KNztD1llnaXAJcAbNy4cfERS1IPzTf58Ezgz5N8sTnfCNyd5DNAVdXTW4lOkqRjuIzLuH03wPk97/vcd8L2nvcqaYBcDHyoqh4+kUZVdT1wPcDmzZurjcAkqS3zTT5c0GoUkiRJ0sp2P3Ba1/mpTdlsLgZeO6Pt+TPa3rqEsUlS380r+VBVX2g7EEmSTsR2tsPwtVC39r7zywOX9b5bScvaHuCsJGfSSSZcTGeR9kdI8hRgHfCJruJbgF9Ksq45fxHwlnbDlaTemu/MB0mSJEnHUFUPJbmUTiJhDXBDVd2Z5Bpgb1XtbKpeDNxYVdXV9mCSX6CTwAC4ZnrxSUkaFCYfJEmSpCVQVbuAXTPKrpxx/tZjtL0BuKG14FqWq9PT/tadtO74lSQtKyYfJGmAJbkAuJbOX+HeU1Vvn6XOK4G30tlb/tNV9ahpwpJWkPT2l0AA1vmL4GpWVy1s7ctcnQW3lbTymHyQpAGVZA1wHfBCOtu27Umys6ru6qpzFp37ip9dVYeSfHd/opW0JGoRv8gli2svSdIcHtPvACRJrTkP2FdV91bVg8CNwEUz6vw0cF1VHQKoqr/tcYySJElaBUw+SNLgOgW4r+t8f1PW7Wzg7CR/luSTzW0akiRJ0pLytgtJWt0eC5xFZ3/5U4GPJXlaVT0ws2KSS4BLADZu3NjDECVJkrTSOfNBkgbX/cBpXeenNmXd9gM7q+pIVX0euIdOMuJRqur6qtpcVZs3bNjQSsCSJEkaTM58kKTBtQc4K8mZdJIOFwMzd7K4GRgBfjvJyXRuw7i3l0FKkqR2zWcr1LnquCuJloLJB0kaUFX1UJJLgVvobLV5Q1XdmeQaYG9V7WyuvSjJXcDDwJuq6sv9i1qSJC01kwdaDkw+SNIAq6pdwK4ZZVd2PS7g9c0hSZIktaLVNR+SXJDk7iT7klwxy/V3Jrm9Oe5J8kCb8UiSJEmSpN5rbeZDkjXAdcAL6SxotifJzqq6a7pOVV3eVX8b8Iy24pEkSZIkSf3R5syH84B9VXVvVT0I3AhcNEf9EWCixXj6bmJigk2bNrFmzRo2bdrExMRAv1xJkiRJkoB213w4Bbiv63w/8KzZKiY5HTgT+GiL8fTVxMQEo6OjjI+Ps2XLFiYnJ9m6dSsAIyMjfY5OkiRJkqT2tLrmwwm4GPhQVT0828UklyTZm2TvgQMHehza0hgbG2N8fJzh4WHWrl3L8PAw4+PjjI2N9Ts0SZIkSZJa1Wby4X7gtK7zU5uy2VzMHLdcVNX1VbW5qjZv2LBhCUPsnampKbZs2fKIsi1btjA1NdWniCRJkiRJ6o02kw97gLOSnJnkcXQSDDtnVkryFGAd8IkWY+m7oaEhJicnH1E2OTnJ0NBQnyKS+s91UCRJkqTVobXkQ1U9BFwK3AJMATdV1Z1JrklyYVfVi4Ebm73mB9bo6Chbt25l9+7dHDlyhN27d7N161ZGR0f7HZrUF9ProOzYsYPDhw+zY8cORkdHTUBIkiRJA6jNBSepql3ArhllV844f2ubMSwX04tKbtu2jampKYaGhhgbG3OxSa1a3eugAEfXQdm2bZv/LyRJkqQB02ryQY80MjLiL1VSw3VQJEmSpNVjuex2IWmVcR0USZIkafUw+SCpL1wHRZIkSVo9vO1CUl+4DookSZK0eph8kNQ3roMiSZIkrQ7ediFJkiQtUpILktydZF+SK45R55VJ7kpyZ5IPdpU/nOT25tjZu6glqXec+SBJkiQtQpI1wHXAC4H9wJ4kO6vqrq46ZwFvAZ5dVYeSfHfXU3y9qs7tZcyS1GvOfJAkSZIW5zxgX1XdW1UPAjcCF82o89PAdVV1CKCq/rbHMUpSX5l8kCRJkhbnFOC+rvP9TVm3s4Gzk/xZkk8muaDr2klJ9jblL2s5VknqC2+7kCRJktr3WOAs4HzgVOBjSZ5WVQ8Ap1fV/UmeBHw0yWeq6nMznyDJJcAlABs3buxZ4JK0FJz5IEla2ZLeH+vW9ftVS1pe7gdO6zo/tSnrth/YWVVHqurzwD10khFU1f3Nv/cCtwLPmK2Tqrq+qjZX1eYNGzYs7SuQpJaZfJAkrVxVCz8W0/7gwf6+bknLzR7grCRnJnkccDEwc9eKm+nMeiDJyXRuw7g3ybok39JV/mzgLiRpwHjbhSRJkrQIVfVQkkuBW4A1wA1VdWeSa4C9VbWzufaiJHcBDwNvqqovJ/lB4DeTfJPOHwbf3r1LhiQNCpMPkiRJ0iJV1S5g14yyK7seF/D65uiu8+fA03oRoyT1k8kHDbRkcXWmZ2ZLkiRJkhbO5IMGmskDSZIkSeo/F5yUJEmSJEmtMvkgSZIkSZJaZfJBkiRJkiS1yuSDpL6ZmJhg06ZNrFmzhk2bNjExMdHvkCS1ITn2cbzr81k5WJIkLXsuOCmpLyYmJhgdHWV8fJwtW7YwOTnJ1q1bARgZGelzdJKWlKv/SpK06jnzQVJfjI2NMT4+zvDwMGvXrmV4eJjx8XHGxsb6HZokSZKkJWbyQVJfTE1NsWXLlkeUbdmyhampqT5FJEmSJKktJh8k9cXQ0BCTk5OPKJucnGRoaKhPEQ2mJBckuTvJviRXzHL91UkOJLm9OX6qH3FKkiRpsJl8kNQXo6OjbN26ld27d3PkyBF2797N1q1bGR0d7XdoAyPJGuA64CXAOcBIknNmqfo7VXVuc7ynp0FKkiRpVXDBSUl9Mb2o5LZt25iammJoaIixsTEXm1xa5wH7qupegCQ3AhcBd/U1KkmSJK06Jh8k9c3IyIjJhnadAtzXdb4feNYs9X4kyQ8B9wCXV9V9s9SRJEnSIuXqubeQPt71umrl7iBl8kGSVrffByaq6htJ/j3wPuB5s1VMcglwCcDGjRt7F6EkSdKAWMnJg8VyzQdJGlz3A6d1nZ/alB1VVV+uqm80p+8BnnmsJ6uq66tqc1Vt3rBhw5IHK0mSpMFl8kGSBtce4KwkZyZ5HHAxsLO7QpLv7Tq9EHCvU0mSJC05b7uQpAFVVQ8luRS4BVgD3FBVdya5BthbVTuB1yW5EHgIOAi8um8BS5IkaWCZfJCkAVZVu4BdM8qu7Hr8FuAtvY5LkiRJq4u3XUiSJEmSpFaZfJAkSZIkSa0y+SBJkiRJklpl8kGSJEmSJLXK5IMkSZIkSWqVyQdJkiRJktQqkw+SJEnSEkhyQZK7k+xLcsUx6rwyyV1J7kzywa7yVyX5bHO8qndRS1JvPLbfAUiSJEkrXZI1wHXAC4H9wJ4kO6vqrq46ZwFvAZ5dVYeSfHdTvh64CtgMFHBb0/ZQr1+HJLXFmQ+SJEnS4p0H7Kuqe6vqQeBG4KIZdX4auG46qVBVf9uUvxj4cFUdbK59GLigR3FLUk+YfJAkSZIW7xTgvq7z/U1Zt7OBs5P8WZJPJrngBNpK0ormbReSJElSbzwWOAs4HzgV+FiSp823cZJLgEsANm7c2EZ8ktQaZz5IkiRJi3c/cFrX+alNWbf9wM6qOlJVnwfuoZOMmE9bqur6qtpcVZs3bNiwpMFLUttMPkiSJEmLtwc4K8mZSR4HXAzsnFHnZjqzHkhyMp3bMO4FbgFelGRdknXAi5oySRoYrSYfFrPdkCRJkrRSVNVDwKV0kgZTwE1VdWeSa5Jc2FS7BfhykruA3cCbqurLVXUQ+AU6CYw9wDVNmSQNjNbWfFjMdkOSJElaYsni6lQtXSwDqqp2AbtmlF3Z9biA1zfHzLY3ADe0HaMk9UubMx8Ws92QJEmSllLV4g5JkhahzeTDYrYbkiRJkiRJA6LfW23Out1QVT3QXclthSRJkiRJWrnanPmwmO2GHsFthSRJkiRJWrnaTD4sZrshSZIkSZI0IFpLPixmu6G2YpIkSZIkSb3X6poPi9luSJIkSZIkDYY2b7uQJEmSJEky+SBJkiRJktpl8kGSJEmSJLXK5IMkSZIkSWqVyQdJkiRJktQqkw+SJEmSJKlVJh8kSZIkSVKrTD5IkiRJkqRWmXyQJEmSJEmtMvkgSZIkSZJaZfJBkgZYkguS3J1kX5Ir5qj3I0kqyeZexidJkqTVweSDJA2oJGuA64CXAOcAI0nOmaXeE4CfBf6/3kYoSZKk1cLkg1aliYkJNm3axJo1a9i0aRMTExP9Dklqw3nAvqq6t6oeBG4ELpql3i8A7wAO9zI4SZIkrR4mH7TqTExMMDo6yo4dOzh8+DA7duxgdHTUBIQG0SnAfV3n+5uyo5J8P3BaVf1hLwOTJEnS6mLyQavO2NgY4+PjDA8Ps3btWoaHhxkfH2dsbKzfoUk9leQxwK8Cb5hn/UuS7E2y98CBA+0GJ0mSpIFi8kGrztTUFFu2bHlE2ZYtW5iamupTRFJr7gdO6zo/tSmb9gRgE3Brkr8CfgDYeaxFJ6vq+qraXFWbN2zY0FLIkiRJGkQmH7TqDA0NMTk5+YiyyclJhoaG+hSR1Jo9wFlJzkzyOOBiYOf0xar6SlWdXFVnVNUZwCeBC6tqb3/ClSRJ0qAy+aBVZ3R0lK1bt7J7926OHDnC7t272bp1K6Ojo/0OTVpSVfUQcClwCzAF3FRVdya5JsmF/Y1OkgbL8bY2TvLqJAeS3N4cP9V17eGu8p0z20rSIHhsvwOQem1kZASAbdu2MTU1xdDQEGNjY0fLpUFSVbuAXTPKrjxG3fN7EZMkDZqurY1fSGdx3z1JdlbVXTOq/k5VXTrLU3y9qs5tOUxJ6iuTD1qVRkZGTDZIkqSlcnRrY4Ak01sbz0w+SNKq5W0XkiRJ0uIcd2vjxo8kuSPJh5J0Lwh8UrOb0CeTvOxYnbjrkKSVzOSDJEmS1L7fB86oqqcDHwbe13Xt9KraDPw4sD3Jk2d7AncdkrSSmXzQqjQxMcGmTZtYs2YNmzZtYmJiot8hSZKklet4WxtTVV+uqm80p+8Bntl17f7m33uBW4FntBmsJPWDyQetOhMTE4yOjrJjxw4OHz7Mjh07GB0dNQEhSZIWas6tjQGSfG/X6YV0diEiybok39I8Phl4Nq4VIWkAmXzQqjM2Nsb4+DjDw8OsXbuW4eFhxsfHGRsb63dokiRpBZrn1savS3Jnkk8DrwNe3ZQPAXub8t3A22fZJUOSVrxUVb9jOCGbN2+uvXv39jsMrWBr1qzh8OHDrF279mjZkSNHOOmkk3j44Yf7GJlWsiS3NffrrgorYixOFtd+hf18lLS6xuIVMQ4DuXpxY3Fd5VgsrSRzjcNutalVZ2hoiMnJSYaHh4+WTU5OMjQ01MeoJC05kweS1HcmDyRN87YLrTqjo6Ns3bqV3bt3c+TIEXbv3s3WrVsZHR3td2iSJEmSNJCc+aBVZ2RkBIBt27YxNTXF0NAQY2NjR8slSZIkSUvL5INWpZGREZMNkiRJktQj3nYhSZIkSZJaZfJBkiRJkiS1yuSDJEmSJElqlckHSZIkSZLUKpMPkiRJkiSpVSYfJEmSJElSq0w+SJIkSZKkVqWq+h3DCUlyAPhCv+NYpJOBv+t3EAJ8L5aLQXgfTq+qDf0Oolcci7WEfB+Wj0F4L1bNWOw4rCXme7E8DML7cMxxeMUlHwZBkr1Vtbnfccj3YrnwfVA/+H23PPg+LB++F+o1v+eWD9+L5WHQ3wdvu5AkSZIkSa0y+SBJkiRJklpl8qE/ru93ADrK92J58H1QP/h9tzz4PiwfvhfqNb/nlg/fi+VhoN8H13yQJEmSJEmtcuaDJEmSJElq1WP7HcCgS/Iw8Bk6X+vPAz9RVQ8kOQOYAu7uqn5eVT3Y+yglaXA5DktS/zkWS3LmQ/u+XlXnVtUm4CDw2q5rn2uuTR8DO8gmeTjJ7Un+MsnvJ/nOpvyMJF9vrk0fjzvGc3xPkj9I8ukkdyXZleRpXe0OJvl88/hPmjbnJqkkF8x4rrOb9p9N8hdJbmqe//wkf9BV7xeT/FGSbzlGTI9Lsj3Jvua5/meSU7uun9qUfTbJ55JcO/36mr6+0sR7R5I/SfLdi/5iL7EkX52l7K1J3tg8fm+S+6e/RklOTvJXzePZ3t9/1/U8x3p/Zv1+OUZ83X3cleT9SdY217q/xke/L7TqOA43HItX5ljsOKwB4ViM47Dj8Ooeh00+9NYngFP6HUSfLMUPnGuAD1fVv6iqc4Arquoz0+2AncCbmvMXNG1GgMnmXwCSnAT8IfDuqjqrqr4f+HVgQ3dnSX4eeDbw8qr6xjFi+iXgCcD3VdVZwM3A/0gD+B/Azc21s4HHA2Nd7T/exPt0YM+Mr8tK8jDwmmNcm/n+vr/r2qPen8Zc3y/H7AN4GnAq8Mquax/v6vsFs7bWarKax2FwLB7ksdhxWCvJah6LHYcdh1ftOGzyoUeSrAGeT2cwmPbkrgzUdX0KrR8W+gPne4H90ydVdcdclZuB7keBVwMvbAZYgB8HPlFVv9/1XLdW1V92tX0D8BLgX1fV14/x/N8G/CRweVU93DzPbwPfAJ7XHIebMpo6lwOvadrOjPUJwKHjfA2Wq+3A5UnmfSvXHO/PTPP+fmm+xv9rvvW1ujgOP4pj8WCNxdtxHNYK4Fj8CI7DjsOrahw2+dC+b01yO/B/gO8BPtx1rTsDthKzeydskT9wrgPGk+xOMprknx2nux8EPl9VnwNuBf5VU74JuG2Ods8GfgZ4SVU9aopVl38OfLGq/n5G+V7gqc3xiH6aul9s2gI8p/n++CLwAuCGuV/SsvVFOhnbn5jlWvf7e3uS5zTlx3p/jjrG98sxNQP2s4A/6ip+Tlffo/N+RRokjsMzOBYP5FjsOKzlzrG4i+Ow43BTvqrGYZMP7ft6M/3ldCCszClES2HRP3Cq6hbgScBvAU8BPpVkw7Hq05m6dGPz+EYePZXpWPbRea9eOM/6izE9Beo04LeB/9yDPtvyNuBNPHpcmTnN7ONN+Vzvz1zfL7N5clP/b4C/nvEXgO5pZmOzN9eAcxz+J47FsxuUsdhxWMuZY3GH4/DsHIdXwThs8qFHquprwOuAN5zIVJwBsiQ/cKrqYFV9sKp+gs79YD80W70mQ/gjwJXpLPayA7ggyROAO4FnztHN3wAvBbYnGZ6j3ueAjc1zdntm08ddM/tJ8kRgI53BfKadx3o9K0FVfRa4nUfeXzar47w/cOLfL9P3uD0ZeGaSCxfwEjTgHIcBx+LpuAZyLHYc1krgWOw43MTlOLwKx2GTDz1UVZ8C7mD+2caBs5gfOEmeN31fWPOf8sl0pjfN5vnAHVV1WlWdUVWnA78LvBz4IPCDSY5Oa0ryQ0k2dcV5D/AK4L8mOfcYr+UfgfcBv9oMHqSzcu23AR8FPgJ8W1M2PcD8CvDe5usw0xY6g/dKNga8cR715np/jjrR75eq+jvgCuAtJxy5VgXH4Q7H4oEeix2Htew5FjsO4zgMq3AcNvnQsqp6/Izzf11VH6iqv6rOyqWrziJ+4DwT2JvkDjqLrrynqvYco+4I8Hszyn4XGKnOYjk/DGxLZ7ufu4D/CByYEeceOovn7Ezy5GP08xbgMHBPks/SWTDm5dWgM3j8aHPtnqbuz3W1n77/6tN07g97w/G/DD33bUn2dx2vP1bFqroT+IsZxTPvcXsdc7w/szzniX6/3NzE/JzjVdTq4Dg8O8fiFTUWOw5rxXMsfjTHYcdhVtk4nM73giRJkiRJUjuc+SBJkiRJklq1Ghd50TKX5CeBn51R/GdzrfrbtiS/B5w5o/jNzWrD6oEkTwM+MKP4G1X1rH7EIw06x2LN5Dgs9ZbjsGZa6eOwt11IkiRJkqRWeduFJEmSJElqlckHSZIkSZLUKpMPkiRJkiSpVSYfJEmSJElSq0w+SJIkSZKkVv3/Pwv0U84QSyMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "### PERFORMANCE COMPARISON ###\n",
    "\n",
    "for t in thresholds: \n",
    "    plt.figure(figsize=(18,5))\n",
    "    plt.subplot(131)\n",
    "    pd.DataFrame({m: p_scoring[m][t] for m in models}).plot.box(\n",
    "        ax=plt.gca(), title=f'label thresh {t}', ylabel='precision', **boxplotcolorprop('blue')\n",
    "    )\n",
    "    plt.subplot(132)\n",
    "    pd.DataFrame({m: r_scoring[m][t] for m in models}).plot.box(\n",
    "        ax=plt.gca(), title=f'label thresh {t}', ylabel='recall', **boxplotcolorprop('red')\n",
    "    )\n",
    "    plt.subplot(133)\n",
    "    pd.DataFrame({m: f_scoring[m][t] for m in models}).plot.box(\n",
    "        ax=plt.gca(), title=f'label thresh {t}', ylabel='f1', **boxplotcolorprop('green')\n",
    "    )\n",
    "    plt.show()\n",
    "    print('\\n\\n')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "papermill": {
   "default_parameters": {},
   "duration": 1684.465254,
   "end_time": "2022-04-09T11:27:30.161699",
   "environment_variables": {},
   "exception": null,
   "input_path": "__notebook__.ipynb",
   "output_path": "__notebook__.ipynb",
   "parameters": {},
   "start_time": "2022-04-09T10:59:25.696445",
   "version": "2.3.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
